%matplotlib inline
import pandas as pd
import networkx as nx
# Ignore matplotlib warnings
import warnings
warnings.filterwarnings("../ignore")Using NetworkX to find centrality of points in your graph
Read in our data
df = pd.read_csv("clubs.csv")
df.set_index('name', inplace=True)
df = df.pivot(columns='club', values='club').astype(bool).astype(int)
df.head(3)| club | Boston Committee | London Enemies | Long Room Club | Loyal Nine | North Caucus | St Andrews Lodge | Tea Party |
|---|---|---|---|---|---|---|---|
| name | |||||||
| Adams John | 0 | 0 | 1 | 0 | 1 | 0 | 0 |
| Adams Samuel | 1 | 1 | 1 | 0 | 1 | 0 | 0 |
| Allen Dr | 0 | 0 | 0 | 0 | 1 | 0 | 0 |
Build the adjacency matrix
Except I’m pretty sure technically it isn’t an adjacency matrix, since an
adjacency matrix is only 1 to mean “connected” and 0 to mean “not
connected.”
people_adj = df.dot(df.T)
people_adj.head(3)| name | Adams John | Adams Samuel | Allen Dr | Appleton Nathaniel | Ash Gilbert | Austin Benjamin | Austin Samuel | Avery John | Baldwin Cyrus | Ballard John | ... | Whitwell William | Williams Jeremiah | Williams Jonathan | Williams Thomas | Willis Nathaniel | Wingfield William | Winslow John | Winthrop John | Wyeth Joshua | Young Thomas |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| name | |||||||||||||||||||||
| Adams John | 2 | 2 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | 1 |
| Adams Samuel | 2 | 4 | 1 | 2 | 0 | 1 | 1 | 1 | 1 | 1 | ... | 1 | 0 | 1 | 0 | 0 | 0 | 1 | 2 | 0 | 2 |
| Allen Dr | 1 | 1 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | 1 | ... | 0 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | 1 |
3 rows × 254 columns
Build a graph…
We’ll draw it first, but we’re going to use it research, not for drawing!
%matplotlib inline
import networkx as nx
people_graph = nx.from_numpy_matrix(people_adj.values)
renamed = dict(zip(people_graph.nodes(), people_adj.columns))
print("Renaming nodes with", renamed)
nx.relabel_nodes(people_graph, renamed, copy=False)
nx.draw(people_graph, node_size=2, edge_color='lightgrey')Renaming nodes with {0: 'Adams John', 1: 'Adams Samuel', 2: 'Allen Dr', 3: 'Appleton Nathaniel', 4: 'Ash Gilbert', 5: 'Austin Benjamin', 6: 'Austin Samuel', 7: 'Avery John', 8: 'Baldwin Cyrus', 9: 'Ballard John', 10: 'Barber Nathaniel', 11: 'Barnard Samuel', 12: 'Barrett Samuel', 13: 'Bass Henry', 14: 'Bell William', 15: 'Bewer James', 16: 'Blake Increase', 17: 'Boit John', 18: 'Bolter Thomas', 19: 'Boyer Peter', 20: 'Boynton Richard', 21: 'Brackett Jos', 22: 'Bradford John', 23: 'Bradlee David', 24: 'Bradlee Josiah', 25: 'Bradlee Nathaniel', 26: 'Bradlee Thomas', 27: 'Bray George', 28: 'Breck William', 29: 'Brimmer Herman', 30: 'Brimmer Martin', 31: 'Broomfield Henry', 32: 'Brown Enoch', 33: 'Brown Hugh', 34: 'Brown John', 35: 'Bruce Stephen', 36: 'Burbeck Edward', 37: 'Burbeck William', 38: 'Burt Benjamin', 39: 'Burton Benjamin', 40: 'Cailleteau Edward', 41: 'Callendar Elisha', 42: 'Campbell Nicholas', 43: 'Cazneau Capt', 44: 'Chadwell Mr', 45: 'Champney Caleb', 46: 'Chase Thomas', 47: 'Cheever Ezekiel', 48: 'Chipman Seth', 49: 'Chrysty Thomas', 50: 'Church Benjamin', 51: 'Clarke Benjamin', 52: 'Cleverly Stephen', 53: 'Cochran John', 54: 'Colesworthy Gilbert', 55: 'Collier Gershom', 56: 'Collins Ezra', 57: 'Collson Adam', 58: 'Condy JamesFoster', 59: 'Cooper Samuel', 60: 'Cooper William', 61: 'Crafts Thomas', 62: 'Crane John', 63: 'Davis Caleb', 64: 'Davis Edward', 65: 'Davis Robert', 66: 'Davis William', 67: 'Dawes Thomas', 68: 'Dennie William', 69: 'Deshon Moses', 70: 'Dexter Samuel', 71: 'Dolbear Edward', 72: 'Doyle Peter', 73: 'Eaton Joseph', 74: 'Eayres Joseph', 75: 'Eckley Unknown', 76: 'Edes Benjamin', 77: 'Emmes Samuel', 78: 'Etheridge William', 79: 'Fenno Samuel', 80: 'Ferrell Ambrose', 81: 'Field Joseph', 82: 'Flagg Josiah', 83: 'Fleet Thomas', 84: 'Foster Bos', 85: 'Foster Samuel', 86: 'Frothingham Nathaniel', 87: 'Gammell John', 88: 'Gill Moses', 89: 'Gore Samuel', 90: 'Gould William', 91: 'Graham James', 92: 'Grant Moses', 93: 'Gray Wait', 94: 'Greene Nathaniel', 95: 'Greenleaf Joseph', 96: 'Greenleaf William', 97: 'Greenough Newn', 98: 'Ham William', 99: 'Hammond Samuel', 100: 'Hancock Eben', 101: 'Hancock John', 102: 'Hendley William', 103: 'Hewes George', 104: 'Hickling William', 105: 'Hicks John', 106: 'Hill Alexander', 107: 'Hitchborn Nathaniel', 108: 'Hitchborn Thomas', 109: 'Hobbs Samuel', 110: 'Hoffins John', 111: 'Holmes Nathaniel', 112: 'Hooton John', 113: 'Hopkins Caleb', 114: 'Hoskins William', 115: 'Howard Samuel', 116: 'Howe Edward', 117: 'Hunnewell Jonathan', 118: 'Hunnewell Richard', 119: 'Hunstable Thomas', 120: 'Hunt Abraham', 121: 'Ingersoll Daniel', 122: 'Inglish Alexander', 123: 'Isaac Pierce', 124: 'Ivers James', 125: 'Jarvis Charles', 126: 'Jarvis Edward', 127: 'Jefferds Unknown', 128: 'Jenkins John', 129: 'Johnston Eben', 130: 'Johonnott Gabriel', 131: 'Kent Benjamin', 132: 'Kerr Walter', 133: 'Kimball Thomas', 134: 'Kinnison David', 135: 'Lambert John', 136: 'Lee Joseph', 137: 'Lewis Phillip', 138: 'Lincoln Amos', 139: 'Loring Matthew', 140: 'Lowell John', 141: 'MacKintosh Capt', 142: 'MacNeil Archibald', 143: 'Machin Thomas', 144: 'Mackay William', 145: 'Marett Phillip', 146: 'Marlton John', 147: 'Marshall Thomas', 148: 'Marson John', 149: 'Mason Jonathan', 150: 'Matchett John', 151: 'May John', 152: 'McAlpine William', 153: 'Melville Thomas', 154: 'Merrit John', 155: 'Milliken Thomas', 156: 'Molineux William', 157: 'Moody Samuel', 158: 'Moore Thomas', 159: 'Morse Anthony', 160: 'Morton Perez', 161: 'Mountford Joseph', 162: 'Newell Eliphelet', 163: 'Nicholls Unknown', 164: 'Noyces Nat', 165: 'Obear Israel', 166: 'Otis James', 167: 'Palfrey William', 168: 'Palmer Joseph', 169: 'Palms Richard', 170: 'Parker Jonathan', 171: 'Parkman Elias', 172: 'Partridge Sam', 173: 'Payson Joseph', 174: 'Pearce Isaac', 175: 'Pearce IsaacJun', 176: 'Peck Samuel', 177: 'Peck Thomas', 178: 'Peters John', 179: 'Phillips John', 180: 'Phillips Samuel', 181: 'Phillips William', 182: 'Pierce William', 183: 'Pierpont Robert', 184: 'Pitts John', 185: 'Pitts Lendall', 186: 'Pitts Samuel', 187: 'Porter Thomas', 188: 'Potter Edward', 189: 'Powell William', 190: 'Prentiss Henry', 191: 'Prince Job', 192: 'Prince John', 193: 'Proctor Edward', 194: 'Pulling John', 195: 'Pulling Richard', 196: 'Purkitt Henry', 197: 'Quincy Josiah', 198: 'Randall John', 199: 'Revere Paul', 200: 'Roby Joseph', 201: 'Roylson Thomas', 202: 'Ruddock Abiel', 203: 'Russell John', 204: 'Russell William', 205: 'Sessions Robert', 206: 'Seward James', 207: 'Sharp Gibbens', 208: 'Shed Joseph', 209: 'Sigourney John', 210: 'Simpson Benjamin', 211: 'Slater Peter', 212: 'Sloper Ambrose', 213: 'Smith John', 214: 'Spear Thomas', 215: 'Sprague Samuel', 216: 'Spurr John', 217: 'Stanbridge Henry', 218: 'Starr James', 219: 'Stearns Phineas', 220: 'Stevens Ebenezer', 221: 'Stoddard Asa', 222: 'Stoddard Jonathan', 223: 'Story Elisha', 224: 'Swan James', 225: 'Sweetser John', 226: 'Symmes Eben', 227: 'Symmes John', 228: 'Tabor Philip', 229: 'Tileston Thomas', 230: 'Trott George', 231: 'Tyler Royall', 232: 'Urann Thomas', 233: 'Vernon Fortesque', 234: 'Waldo Benjamin', 235: 'Warren Joseph', 236: 'Webb Joseph', 237: 'Webster Thomas', 238: 'Welles Henry', 239: 'Wendell Oliver', 240: 'Wheeler Josiah', 241: 'White Samuel', 242: 'Whitten John', 243: 'Whitwell Samuel', 244: 'Whitwell William', 245: 'Williams Jeremiah', 246: 'Williams Jonathan', 247: 'Williams Thomas', 248: 'Willis Nathaniel', 249: 'Wingfield William', 250: 'Winslow John', 251: 'Winthrop John', 252: 'Wyeth Joshua', 253: 'Young Thomas'}
Horrifying, let’s try it again.
import matplotlib.pyplot as plt
plt.figure(figsize=(30,30))
# 1. Create the graph
people_graph = nx.from_numpy_matrix(people_adj.values)
# 1.5. Rename our nodes so it isn't 0, 1, 2, 3, 4...
renamed = dict(zip(people_graph.nodes(), people_adj.columns))
nx.relabel_nodes(people_graph, renamed, copy=False)
# 2. Create a layout for our nodes
layout = nx.spring_layout(people_graph, iterations=20, k=0.25)
# 3. Draw the parts we want
nx.draw_networkx_edges(people_graph, layout, edge_color='#e1e1e1')
nx.draw_networkx_nodes(people_graph, layout)
nx.draw_networkx_labels(people_graph, layout)
# 4. Turn off the axis because I know you don't want it
plt.axis('off')
# 5. Tell matplotlib to show it
plt.show()
Hmmm. Paul Revere and Warren Joseph seem to be in the middle, but are they actually important?
Research topic: Centrality
You can read more at Wikipedia, but centrality is how connected you are to everyone else. A common one is closeness centrality, and you can see more in the networkx documentation.
Let’s say we make a graph (the same one we did before)…
# 1. Build the graph
people_graph = nx.from_numpy_matrix(people_adj.values)
# 2. Relabel the nodes with names instead of numbers
renamed = dict(zip(people_graph.nodes(), people_adj.columns))
nx.relabel_nodes(people_graph, renamed, copy=False)<networkx.classes.graph.Graph at 0x10aa74eb8>
You don’t have to draw it! You can use it to then do calculate, like the aforementioned closeness centrality. You give networkx the graph you made, and it figures out how central every node is.
# Use networkx to calculate closeness in our graph
people_centrality = nx.closeness_centrality(people_graph)
people_centrality{'Adams John': 0.5802752293577982,
'Adams Samuel': 0.6537467700258398,
'Allen Dr': 0.5647321428571429,
'Appleton Nathaniel': 0.5802752293577982,
'Ash Gilbert': 0.5572687224669604,
'Austin Benjamin': 0.5685393258426966,
'Austin Samuel': 0.5685393258426966,
'Avery John': 0.5776255707762558,
'Baldwin Cyrus': 0.5685393258426966,
'Ballard John': 0.5647321428571429,
'Barber Nathaniel': 0.8083067092651757,
'Barnard Samuel': 0.6170731707317073,
'Barrett Samuel': 0.640506329113924,
'Bass Henry': 0.8083067092651757,
'Bell William': 0.5572687224669604,
'Bewer James': 0.6170731707317073,
'Blake Increase': 0.5572687224669604,
'Boit John': 0.5647321428571429,
'Bolter Thomas': 0.6170731707317073,
'Boyer Peter': 0.5685393258426966,
'Boynton Richard': 0.5816091954022988,
'Brackett Jos': 0.5685393258426966,
'Bradford John': 0.5816091954022988,
'Bradlee David': 0.6170731707317073,
'Bradlee Josiah': 0.6170731707317073,
'Bradlee Nathaniel': 0.6170731707317073,
'Bradlee Thomas': 0.6170731707317073,
'Bray George': 0.5572687224669604,
'Breck William': 0.5647321428571429,
'Brimmer Herman': 0.5685393258426966,
'Brimmer Martin': 0.5685393258426966,
'Broomfield Henry': 0.5685393258426966,
'Brown Enoch': 0.5685393258426966,
'Brown Hugh': 0.5572687224669604,
'Brown John': 0.5685393258426966,
'Bruce Stephen': 0.6170731707317073,
'Burbeck Edward': 0.5572687224669604,
'Burbeck William': 0.5572687224669604,
'Burt Benjamin': 0.5647321428571429,
'Burton Benjamin': 0.6170731707317073,
'Cailleteau Edward': 0.5572687224669604,
'Callendar Elisha': 0.5572687224669604,
'Campbell Nicholas': 0.6170731707317073,
'Cazneau Capt': 0.5647321428571429,
'Chadwell Mr': 0.5647321428571429,
'Champney Caleb': 0.5647321428571429,
'Chase Thomas': 0.8083067092651757,
'Cheever Ezekiel': 0.6293532338308457,
'Chipman Seth': 0.5572687224669604,
'Chrysty Thomas': 0.5647321428571429,
'Church Benjamin': 0.6537467700258398,
'Clarke Benjamin': 0.6170731707317073,
'Cleverly Stephen': 0.49510763209393344,
'Cochran John': 0.6170731707317073,
'Colesworthy Gilbert': 0.6170731707317073,
'Collier Gershom': 0.6170731707317073,
'Collins Ezra': 0.5572687224669604,
'Collson Adam': 0.695054945054945,
'Condy JamesFoster': 0.7931034482758621,
'Cooper Samuel': 0.640506329113924,
'Cooper William': 0.5121457489878543,
'Crafts Thomas': 0.5672645739910314,
'Crane John': 0.6170731707317073,
'Davis Caleb': 0.5816091954022988,
'Davis Edward': 0.5685393258426966,
'Davis Robert': 0.6170731707317073,
'Davis William': 0.5685393258426966,
'Dawes Thomas': 0.5121457489878543,
'Dennie William': 0.5802752293577982,
'Deshon Moses': 0.5572687224669604,
'Dexter Samuel': 0.5121457489878543,
'Dolbear Edward': 0.6170731707317073,
'Doyle Peter': 0.5572687224669604,
'Eaton Joseph': 0.6170731707317073,
'Eayres Joseph': 0.7106741573033708,
'Eckley Unknown': 0.6170731707317073,
'Edes Benjamin': 0.5736961451247166,
'Emmes Samuel': 0.5647321428571429,
'Etheridge William': 0.6170731707317073,
'Fenno Samuel': 0.6170731707317073,
'Ferrell Ambrose': 0.5572687224669604,
'Field Joseph': 0.49510763209393344,
'Flagg Josiah': 0.5572687224669604,
'Fleet Thomas': 0.5121457489878543,
'Foster Bos': 0.5685393258426966,
'Foster Samuel': 0.6170731707317073,
'Frothingham Nathaniel': 0.6170731707317073,
'Gammell John': 0.6170731707317073,
'Gill Moses': 0.5685393258426966,
'Gore Samuel': 0.6170731707317073,
'Gould William': 0.5572687224669604,
'Graham James': 0.5572687224669604,
'Grant Moses': 0.7931034482758621,
'Gray Wait': 0.5572687224669604,
'Greene Nathaniel': 0.6170731707317073,
'Greenleaf Joseph': 0.6388888888888888,
'Greenleaf William': 0.5816091954022988,
'Greenough Newn': 0.5685393258426966,
'Ham William': 0.5572687224669604,
'Hammond Samuel': 0.6170731707317073,
'Hancock Eben': 0.5685393258426966,
'Hancock John': 0.5842956120092379,
'Hendley William': 0.6170731707317073,
'Hewes George': 0.6170731707317073,
'Hickling William': 0.5647321428571429,
'Hicks John': 0.6170731707317073,
'Hill Alexander': 0.5163265306122449,
'Hitchborn Nathaniel': 0.5572687224669604,
'Hitchborn Thomas': 0.5647321428571429,
'Hobbs Samuel': 0.6170731707317073,
'Hoffins John': 0.5572687224669604,
'Holmes Nathaniel': 0.5647321428571429,
'Hooton John': 0.6170731707317073,
'Hopkins Caleb': 0.5685393258426966,
'Hoskins William': 0.5647321428571429,
'Howard Samuel': 0.6170731707317073,
'Howe Edward': 0.6170731707317073,
'Hunnewell Jonathan': 0.6170731707317073,
'Hunnewell Richard': 0.6170731707317073,
'Hunstable Thomas': 0.6170731707317073,
'Hunt Abraham': 0.6170731707317073,
'Ingersoll Daniel': 0.6170731707317073,
'Inglish Alexander': 0.5572687224669604,
'Isaac Pierce': 0.5685393258426966,
'Ivers James': 0.5685393258426966,
'Jarvis Charles': 0.5685393258426966,
'Jarvis Edward': 0.5572687224669604,
'Jefferds Unknown': 0.5572687224669604,
'Jenkins John': 0.5572687224669604,
'Johnston Eben': 0.5685393258426966,
'Johonnott Gabriel': 0.5647321428571429,
'Kent Benjamin': 0.5647321428571429,
'Kerr Walter': 0.5572687224669604,
'Kimball Thomas': 0.5647321428571429,
'Kinnison David': 0.6170731707317073,
'Lambert John': 0.5121457489878543,
'Lee Joseph': 0.6170731707317073,
'Lewis Phillip': 0.5572687224669604,
'Lincoln Amos': 0.6170731707317073,
'Loring Matthew': 0.6170731707317073,
'Lowell John': 0.5647321428571429,
'MacKintosh Capt': 0.6170731707317073,
'MacNeil Archibald': 0.6170731707317073,
'Machin Thomas': 0.6170731707317073,
'Mackay William': 0.5163265306122449,
'Marett Phillip': 0.5572687224669604,
'Marlton John': 0.5572687224669604,
'Marshall Thomas': 0.5685393258426966,
'Marson John': 0.5685393258426966,
'Mason Jonathan': 0.5685393258426966,
'Matchett John': 0.5647321428571429,
'May John': 0.6170731707317073,
'McAlpine William': 0.5572687224669604,
'Melville Thomas': 0.6170731707317073,
'Merrit John': 0.5647321428571429,
'Milliken Thomas': 0.5572687224669604,
'Molineux William': 0.71875,
'Moody Samuel': 0.5572687224669604,
'Moore Thomas': 0.6170731707317073,
'Morse Anthony': 0.6170731707317073,
'Morton Perez': 0.5647321428571429,
'Mountford Joseph': 0.6170731707317073,
'Newell Eliphelet': 0.6170731707317073,
'Nicholls Unknown': 0.5572687224669604,
'Noyces Nat': 0.5685393258426966,
'Obear Israel': 0.5572687224669604,
'Otis James': 0.5292887029288703,
'Palfrey William': 0.5572687224669604,
'Palmer Joseph': 0.6170731707317073,
'Palms Richard': 0.5647321428571429,
'Parker Jonathan': 0.6170731707317073,
'Parkman Elias': 0.6293532338308457,
'Partridge Sam': 0.5685393258426966,
'Payson Joseph': 0.6170731707317073,
'Pearce Isaac': 0.5647321428571429,
'Pearce IsaacJun': 0.5647321428571429,
'Peck Samuel': 0.7027777777777777,
'Peck Thomas': 0.5647321428571429,
'Peters John': 0.6170731707317073,
'Phillips John': 0.5572687224669604,
'Phillips Samuel': 0.5121457489878543,
'Phillips William': 0.5685393258426966,
'Pierce William': 0.6170731707317073,
'Pierpont Robert': 0.5163265306122449,
'Pitts John': 0.5685393258426966,
'Pitts Lendall': 0.6170731707317073,
'Pitts Samuel': 0.5685393258426966,
'Porter Thomas': 0.6170731707317073,
'Potter Edward': 0.5572687224669604,
'Powell William': 0.5816091954022988,
'Prentiss Henry': 0.6170731707317073,
'Prince Job': 0.5685393258426966,
'Prince John': 0.6170731707317073,
'Proctor Edward': 0.7931034482758621,
'Pulling John': 0.6293532338308457,
'Pulling Richard': 0.5572687224669604,
'Purkitt Henry': 0.6170731707317073,
'Quincy Josiah': 0.5292887029288703,
'Randall John': 0.6170731707317073,
'Revere Paul': 0.9693486590038314,
'Roby Joseph': 0.6170731707317073,
'Roylson Thomas': 0.5685393258426966,
'Ruddock Abiel': 0.6293532338308457,
'Russell John': 0.6170731707317073,
'Russell William': 0.6170731707317073,
'Sessions Robert': 0.6170731707317073,
'Seward James': 0.5572687224669604,
'Sharp Gibbens': 0.5647321428571429,
'Shed Joseph': 0.6170731707317073,
'Sigourney John': 0.5647321428571429,
'Simpson Benjamin': 0.6170731707317073,
'Slater Peter': 0.6170731707317073,
'Sloper Ambrose': 0.5572687224669604,
'Smith John': 0.49510763209393344,
'Spear Thomas': 0.6170731707317073,
'Sprague Samuel': 0.6170731707317073,
'Spurr John': 0.6170731707317073,
'Stanbridge Henry': 0.5572687224669604,
'Starr James': 0.6170731707317073,
'Stearns Phineas': 0.6170731707317073,
'Stevens Ebenezer': 0.6170731707317073,
'Stoddard Asa': 0.5647321428571429,
'Stoddard Jonathan': 0.5647321428571429,
'Story Elisha': 0.695054945054945,
'Swan James': 0.695054945054945,
'Sweetser John': 0.5163265306122449,
'Symmes Eben': 0.5647321428571429,
'Symmes John': 0.5647321428571429,
'Tabor Philip': 0.5572687224669604,
'Tileston Thomas': 0.5647321428571429,
'Trott George': 0.49510763209393344,
'Tyler Royall': 0.5121457489878543,
'Urann Thomas': 0.8031746031746032,
'Vernon Fortesque': 0.5685393258426966,
'Waldo Benjamin': 0.5685393258426966,
'Warren Joseph': 0.7485207100591716,
'Webb Joseph': 0.5572687224669604,
'Webster Thomas': 0.5572687224669604,
'Welles Henry': 0.5672645739910314,
'Wendell Oliver': 0.5816091954022988,
'Wheeler Josiah': 0.6170731707317073,
'White Samuel': 0.5647321428571429,
'Whitten John': 0.5572687224669604,
'Whitwell Samuel': 0.5685393258426966,
'Whitwell William': 0.5685393258426966,
'Williams Jeremiah': 0.6170731707317073,
'Williams Jonathan': 0.5685393258426966,
'Williams Thomas': 0.6170731707317073,
'Willis Nathaniel': 0.6170731707317073,
'Wingfield William': 0.5572687224669604,
'Winslow John': 0.5121457489878543,
'Winthrop John': 0.6293532338308457,
'Wyeth Joshua': 0.6170731707317073,
'Young Thomas': 0.71875}
eig_centrality = nx.eigenvector_centrality(people_graph)
eig_centrality{'Adams John': 0.043013431281714316,
'Adams Samuel': 0.08627092883379778,
'Allen Dr': 0.036550282437213893,
'Appleton Nathaniel': 0.04782108610845371,
'Ash Gilbert': 0.008977228114293244,
'Austin Benjamin': 0.031986693880843645,
'Austin Samuel': 0.031986693880843645,
'Avery John': 0.03598684345980668,
'Baldwin Cyrus': 0.031986693880843645,
'Ballard John': 0.036550282437213893,
'Barber Nathaniel': 0.16184149972615802,
'Barnard Samuel': 0.08203371973686074,
'Barrett Samuel': 0.04096392199513692,
'Bass Henry': 0.15457084563388132,
'Bell William': 0.008977228114293244,
'Bewer James': 0.08203371973686074,
'Blake Increase': 0.008977228114293244,
'Boit John': 0.036550282437213893,
'Bolter Thomas': 0.08203371973686074,
'Boyer Peter': 0.031986693880843645,
'Boynton Richard': 0.04325749755208345,
'Brackett Jos': 0.031986693880843645,
'Bradford John': 0.04325749755208345,
'Bradlee David': 0.08203371973686074,
'Bradlee Josiah': 0.08203371973686074,
'Bradlee Nathaniel': 0.08203371973686074,
'Bradlee Thomas': 0.08203371973686074,
'Bray George': 0.008977228114293244,
'Breck William': 0.036550282437213893,
'Brimmer Herman': 0.031986693880843645,
'Brimmer Martin': 0.031986693880843645,
'Broomfield Henry': 0.031986693880843645,
'Brown Enoch': 0.031986693880843645,
'Brown Hugh': 0.008977228114293244,
'Brown John': 0.031986693880843645,
'Bruce Stephen': 0.08203371973686074,
'Burbeck Edward': 0.008977228114293244,
'Burbeck William': 0.008977228114293244,
'Burt Benjamin': 0.036550282437213893,
'Burton Benjamin': 0.08203371973686074,
'Cailleteau Edward': 0.008977228114293244,
'Callendar Elisha': 0.008977228114293244,
'Campbell Nicholas': 0.08203371973686074,
'Cazneau Capt': 0.036550282437213893,
'Chadwell Mr': 0.036550282437213893,
'Champney Caleb': 0.036550282437213893,
'Chase Thomas': 0.15457084563388132,
'Cheever Ezekiel': 0.06853697631805757,
'Chipman Seth': 0.008977228114293244,
'Chrysty Thomas': 0.036550282437213893,
'Church Benjamin': 0.08627092883379778,
'Clarke Benjamin': 0.08203371973686074,
'Cleverly Stephen': 0.004000149578963033,
'Cochran John': 0.08203371973686074,
'Colesworthy Gilbert': 0.08203371973686074,
'Collier Gershom': 0.08203371973686074,
'Collins Ezra': 0.008977228114293244,
'Collson Adam': 0.11858400217407472,
'Condy JamesFoster': 0.15057069605491827,
'Cooper Samuel': 0.08849686858136117,
'Cooper William': 0.006463148844500423,
'Crafts Thomas': 0.012977377693256274,
'Crane John': 0.08203371973686074,
'Davis Caleb': 0.04325749755208345,
'Davis Edward': 0.031986693880843645,
'Davis Robert': 0.08203371973686074,
'Davis William': 0.031986693880843645,
'Dawes Thomas': 0.006463148844500423,
'Dennie William': 0.04782108610845371,
'Deshon Moses': 0.008977228114293244,
'Dexter Samuel': 0.006463148844500423,
'Dolbear Edward': 0.08203371973686074,
'Doyle Peter': 0.008977228114293244,
'Eaton Joseph': 0.08203371973686074,
'Eayres Joseph': 0.11402041361770447,
'Eckley Unknown': 0.08203371973686074,
'Edes Benjamin': 0.04055043201617693,
'Emmes Samuel': 0.036550282437213893,
'Etheridge William': 0.08203371973686074,
'Fenno Samuel': 0.08203371973686074,
'Ferrell Ambrose': 0.008977228114293244,
'Field Joseph': 0.004000149578963033,
'Flagg Josiah': 0.008977228114293244,
'Fleet Thomas': 0.006463148844500423,
'Foster Bos': 0.031986693880843645,
'Foster Samuel': 0.08203371973686074,
'Frothingham Nathaniel': 0.08203371973686074,
'Gammell John': 0.08203371973686074,
'Gill Moses': 0.031986693880843645,
'Gore Samuel': 0.08203371973686074,
'Gould William': 0.008977228114293244,
'Graham James': 0.008977228114293244,
'Grant Moses': 0.15057069605491827,
'Gray Wait': 0.008977228114293244,
'Greene Nathaniel': 0.08203371973686074,
'Greenleaf Joseph': 0.07980777998929735,
'Greenleaf William': 0.04325749755208345,
'Greenough Newn': 0.031986693880843645,
'Ham William': 0.008977228114293244,
'Hammond Samuel': 0.08203371973686074,
'Hancock Eben': 0.031986693880843645,
'Hancock John': 0.03844984272534407,
'Hendley William': 0.08203371973686074,
'Hewes George': 0.08203371973686074,
'Hickling William': 0.036550282437213893,
'Hicks John': 0.08203371973686074,
'Hill Alexander': 0.011270803671239806,
'Hitchborn Nathaniel': 0.008977228114293244,
'Hitchborn Thomas': 0.036550282437213893,
'Hobbs Samuel': 0.08203371973686074,
'Hoffins John': 0.008977228114293244,
'Holmes Nathaniel': 0.036550282437213893,
'Hooton John': 0.08203371973686074,
'Hopkins Caleb': 0.031986693880843645,
'Hoskins William': 0.036550282437213893,
'Howard Samuel': 0.08203371973686074,
'Howe Edward': 0.08203371973686074,
'Hunnewell Jonathan': 0.08203371973686074,
'Hunnewell Richard': 0.08203371973686074,
'Hunstable Thomas': 0.08203371973686074,
'Hunt Abraham': 0.08203371973686074,
'Ingersoll Daniel': 0.08203371973686074,
'Inglish Alexander': 0.008977228114293244,
'Isaac Pierce': 0.031986693880843645,
'Ivers James': 0.031986693880843645,
'Jarvis Charles': 0.031986693880843645,
'Jarvis Edward': 0.008977228114293244,
'Jefferds Unknown': 0.008977228114293244,
'Jenkins John': 0.008977228114293244,
'Johnston Eben': 0.031986693880843645,
'Johonnott Gabriel': 0.036550282437213893,
'Kent Benjamin': 0.036550282437213893,
'Kerr Walter': 0.008977228114293244,
'Kimball Thomas': 0.036550282437213893,
'Kinnison David': 0.08203371973686074,
'Lambert John': 0.006463148844500423,
'Lee Joseph': 0.08203371973686074,
'Lewis Phillip': 0.008977228114293244,
'Lincoln Amos': 0.08203371973686074,
'Loring Matthew': 0.08203371973686074,
'Lowell John': 0.036550282437213893,
'MacKintosh Capt': 0.08203371973686074,
'MacNeil Archibald': 0.08203371973686074,
'Machin Thomas': 0.08203371973686074,
'Mackay William': 0.011270803671239806,
'Marett Phillip': 0.008977228114293244,
'Marlton John': 0.008977228114293244,
'Marshall Thomas': 0.031986693880843645,
'Marson John': 0.031986693880843645,
'Mason Jonathan': 0.031986693880843645,
'Matchett John': 0.036550282437213893,
'May John': 0.08203371973686074,
'McAlpine William': 0.008977228114293244,
'Melville Thomas': 0.08203371973686074,
'Merrit John': 0.036550282437213893,
'Milliken Thomas': 0.008977228114293244,
'Molineux William': 0.12985480584531456,
'Moody Samuel': 0.008977228114293244,
'Moore Thomas': 0.08203371973686074,
'Morse Anthony': 0.08203371973686074,
'Morton Perez': 0.036550282437213893,
'Mountford Joseph': 0.08203371973686074,
'Newell Eliphelet': 0.08203371973686074,
'Nicholls Unknown': 0.008977228114293244,
'Noyces Nat': 0.031986693880843645,
'Obear Israel': 0.008977228114293244,
'Otis James': 0.017733952515740226,
'Palfrey William': 0.008977228114293244,
'Palmer Joseph': 0.08203371973686074,
'Palms Richard': 0.036550282437213893,
'Parker Jonathan': 0.08203371973686074,
'Parkman Elias': 0.06853697631805757,
'Partridge Sam': 0.031986693880843645,
'Payson Joseph': 0.08203371973686074,
'Pearce Isaac': 0.036550282437213893,
'Pearce IsaacJun': 0.036550282437213893,
'Peck Samuel': 0.091010947851154,
'Peck Thomas': 0.036550282437213893,
'Peters John': 0.08203371973686074,
'Phillips John': 0.008977228114293244,
'Phillips Samuel': 0.006463148844500423,
'Phillips William': 0.031986693880843645,
'Pierce William': 0.08203371973686074,
'Pierpont Robert': 0.011270803671239806,
'Pitts John': 0.031986693880843645,
'Pitts Lendall': 0.08203371973686074,
'Pitts Samuel': 0.031986693880843645,
'Porter Thomas': 0.08203371973686074,
'Potter Edward': 0.008977228114293244,
'Powell William': 0.04325749755208345,
'Prentiss Henry': 0.08203371973686074,
'Prince Job': 0.031986693880843645,
'Prince John': 0.08203371973686074,
'Proctor Edward': 0.15057069605491827,
'Pulling John': 0.06853697631805757,
'Pulling Richard': 0.008977228114293244,
'Purkitt Henry': 0.08203371973686074,
'Quincy Josiah': 0.017733952515740226,
'Randall John': 0.08203371973686074,
'Revere Paul': 0.1660110730137118,
'Roby Joseph': 0.08203371973686074,
'Roylson Thomas': 0.031986693880843645,
'Ruddock Abiel': 0.06853697631805757,
'Russell John': 0.08203371973686074,
'Russell William': 0.08203371973686074,
'Sessions Robert': 0.08203371973686074,
'Seward James': 0.008977228114293244,
'Sharp Gibbens': 0.036550282437213893,
'Shed Joseph': 0.08203371973686074,
'Sigourney John': 0.036550282437213893,
'Simpson Benjamin': 0.08203371973686074,
'Slater Peter': 0.08203371973686074,
'Sloper Ambrose': 0.008977228114293244,
'Smith John': 0.004000149578963033,
'Spear Thomas': 0.08203371973686074,
'Sprague Samuel': 0.08203371973686074,
'Spurr John': 0.08203371973686074,
'Stanbridge Henry': 0.008977228114293244,
'Starr James': 0.08203371973686074,
'Stearns Phineas': 0.08203371973686074,
'Stevens Ebenezer': 0.08203371973686074,
'Stoddard Asa': 0.036550282437213893,
'Stoddard Jonathan': 0.036550282437213893,
'Story Elisha': 0.11858400217407472,
'Swan James': 0.11858400217407472,
'Sweetser John': 0.011270803671239806,
'Symmes Eben': 0.036550282437213893,
'Symmes John': 0.036550282437213893,
'Tabor Philip': 0.008977228114293244,
'Tileston Thomas': 0.036550282437213893,
'Trott George': 0.004000149578963033,
'Tyler Royall': 0.006463148844500423,
'Urann Thomas': 0.1275612302883679,
'Vernon Fortesque': 0.031986693880843645,
'Waldo Benjamin': 0.031986693880843645,
'Warren Joseph': 0.09524815694809091,
'Webb Joseph': 0.008977228114293244,
'Webster Thomas': 0.008977228114293244,
'Welles Henry': 0.012977377693256274,
'Wendell Oliver': 0.04325749755208345,
'Wheeler Josiah': 0.08203371973686074,
'White Samuel': 0.036550282437213893,
'Whitten John': 0.008977228114293244,
'Whitwell Samuel': 0.031986693880843645,
'Whitwell William': 0.031986693880843645,
'Williams Jeremiah': 0.08203371973686074,
'Williams Jonathan': 0.031986693880843645,
'Williams Thomas': 0.08203371973686074,
'Willis Nathaniel': 0.08203371973686074,
'Wingfield William': 0.008977228114293244,
'Winslow John': 0.006463148844500423,
'Winthrop John': 0.06853697631805757,
'Wyeth Joshua': 0.08203371973686074,
'Young Thomas': 0.12985480584531456}
You can use this weird magic code to print out the top 10 most central points.
for name in sorted(people_centrality, key=people_centrality.get, reverse=True)[:10]:
print(name, people_centrality[name])Revere Paul 0.9693486590038314
Barber Nathaniel 0.8083067092651757
Bass Henry 0.8083067092651757
Chase Thomas 0.8083067092651757
Urann Thomas 0.8031746031746032
Condy JamesFoster 0.7931034482758621
Grant Moses 0.7931034482758621
Proctor Edward 0.7931034482758621
Warren Joseph 0.7485207100591716
Molineux William 0.71875
for name in sorted(eig_centrality, key=eig_centrality.get, reverse=True)[:10]:
print(name, eig_centrality[name])Revere Paul 0.1660110730137118
Barber Nathaniel 0.16184149972615802
Bass Henry 0.15457084563388132
Chase Thomas 0.15457084563388132
Condy JamesFoster 0.15057069605491827
Grant Moses 0.15057069605491827
Proctor Edward 0.15057069605491827
Molineux William 0.12985480584531456
Young Thomas 0.12985480584531456
Urann Thomas 0.1275612302883679
Other network-y stuff
Networkx has a lot of other algorithms you can use for tasks like finding cliques or running PageRank on it!
Finding cliques
This dataset sucks for cliques, but if you have something more interesting…!
list(nx.find_cliques(people_graph))[['Trott George',
'Edes Benjamin',
'Welles Henry',
'Crafts Thomas',
'Field Joseph',
'Avery John',
'Cleverly Stephen',
'Bass Henry',
'Chase Thomas',
'Smith John'],
['Mackay William',
'Church Benjamin',
'Quincy Josiah',
'Wendell Oliver',
'Sweetser John',
'Molineux William',
'Warren Joseph',
'Otis James',
'Young Thomas',
'Davis Caleb',
'Adams Samuel',
'Barber Nathaniel',
'Pierpont Robert',
'Greenleaf Joseph',
'Boynton Richard',
'Powell William',
'Hill Alexander',
'Appleton Nathaniel',
'Bradford John',
'Dennie William',
'Greenleaf William'],
['Revere Paul',
'Williams Jonathan',
'Broomfield Henry',
'Proctor Edward',
'Ivers James',
'Marson John',
'Hancock Eben',
'Ruddock Abiel',
'Davis Caleb',
'Prince Job',
'Davis Edward',
'Phillips William',
'Mason Jonathan',
'Hancock John',
'Greenough Newn',
'Gill Moses',
'Barber Nathaniel',
'Boynton Richard',
'Condy JamesFoster',
'Vernon Fortesque',
'Pulling John',
'Avery John',
'Partridge Sam',
'Pitts Samuel',
'Roylson Thomas',
'Isaac Pierce',
'Adams Samuel',
'Parkman Elias',
'Whitwell Samuel',
'Greenleaf Joseph',
'Austin Samuel',
'Powell William',
'Grant Moses',
'Baldwin Cyrus',
'Brackett Jos',
'Pitts John',
'Waldo Benjamin',
'Church Benjamin',
'Bass Henry',
'Davis William',
'Winthrop John',
'Cheever Ezekiel',
'Barrett Samuel',
'Eayres Joseph',
'Noyces Nat',
'Jarvis Charles',
'Johnston Eben',
'Marshall Thomas',
'Brown Enoch',
'Wendell Oliver',
'Brown John',
'Warren Joseph',
'Hopkins Caleb',
'Foster Bos',
'Boyer Peter',
'Brimmer Martin',
'Brimmer Herman',
'Bradford John',
'Chase Thomas',
'Austin Benjamin',
'Whitwell William',
'Greenleaf William'],
['Revere Paul',
'Dawes Thomas',
'Fleet Thomas',
'Church Benjamin',
'Winslow John',
'Quincy Josiah',
'Warren Joseph',
'Otis James',
'Lambert John',
'Cooper William',
'Adams Samuel',
'Hancock John',
'Phillips Samuel',
'Adams John',
'Cooper Samuel',
'Tyler Royall',
'Dexter Samuel'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Young Thomas',
'Molineux William',
'Barber Nathaniel',
'Cooper Samuel',
'Adams John'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Young Thomas',
'Molineux William',
'Barber Nathaniel',
'Greenleaf Joseph',
'Appleton Nathaniel',
'Dennie William',
'Adams John'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Young Thomas',
'Molineux William',
'Barber Nathaniel',
'Greenleaf Joseph',
'Appleton Nathaniel',
'Dennie William',
'Wendell Oliver',
'Davis Caleb',
'Greenleaf William',
'Bradford John',
'Boynton Richard',
'Powell William'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Hancock John',
'Wendell Oliver',
'Davis Caleb',
'Barber Nathaniel',
'Greenleaf Joseph',
'Greenleaf William',
'Bradford John',
'Boynton Richard',
'Powell William'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Hancock John',
'Adams John',
'Greenleaf Joseph',
'Barber Nathaniel'],
['Revere Paul',
'Quincy Josiah',
'Otis James',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Hancock John',
'Adams John',
'Barber Nathaniel',
'Cooper Samuel'],
['Revere Paul',
'Davis Caleb',
'Boynton Richard',
'Barber Nathaniel',
'Adams Samuel',
'Greenleaf Joseph',
'Powell William',
'Church Benjamin',
'Warren Joseph',
'Wendell Oliver',
'Bradford John',
'Greenleaf William',
'Proctor Edward',
'Ruddock Abiel',
'Condy JamesFoster',
'Pulling John',
'Parkman Elias',
'Grant Moses',
'Bass Henry',
'Winthrop John',
'Cheever Ezekiel',
'Chase Thomas',
'Appleton Nathaniel',
'Dennie William',
'Young Thomas',
'Molineux William'],
['Revere Paul',
'Davis Caleb',
'Boynton Richard',
'Barber Nathaniel',
'Adams Samuel',
'Greenleaf Joseph',
'Powell William',
'Church Benjamin',
'Warren Joseph',
'Wendell Oliver',
'Bradford John',
'Greenleaf William',
'Proctor Edward',
'Ruddock Abiel',
'Condy JamesFoster',
'Pulling John',
'Parkman Elias',
'Grant Moses',
'Bass Henry',
'Winthrop John',
'Cheever Ezekiel',
'Chase Thomas',
'Eayres Joseph',
'Young Thomas',
'Molineux William'],
['Revere Paul',
'Hancock John',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Barber Nathaniel',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Bass Henry',
'Chase Thomas',
'Cooper Samuel',
'Adams John'],
['Revere Paul',
'Hancock John',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Barber Nathaniel',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Bass Henry',
'Chase Thomas',
'Cooper Samuel',
'Eayres Joseph'],
['Revere Paul',
'Hancock John',
'Adams Samuel',
'Church Benjamin',
'Warren Joseph',
'Barber Nathaniel',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Bass Henry',
'Chase Thomas',
'Adams John',
'Pulling John',
'Ruddock Abiel',
'Cheever Ezekiel',
'Parkman Elias',
'Greenleaf Joseph',
'Winthrop John'],
['Revere Paul',
'Avery John',
'Bass Henry',
'Chase Thomas',
'Warren Joseph',
'Barrett Samuel',
'Welles Henry',
'Crafts Thomas'],
['Revere Paul',
'Avery John',
'Bass Henry',
'Chase Thomas',
'Warren Joseph',
'Edes Benjamin',
'Proctor Edward',
'Pulling John',
'Church Benjamin',
'Ruddock Abiel',
'Winthrop John',
'Cheever Ezekiel',
'Adams Samuel',
'Parkman Elias',
'Condy JamesFoster',
'Greenleaf Joseph',
'Barber Nathaniel',
'Grant Moses'],
['Revere Paul',
'Avery John',
'Bass Henry',
'Chase Thomas',
'Warren Joseph',
'Edes Benjamin',
'Welles Henry',
'Crafts Thomas'],
['Revere Paul',
'Urann Thomas',
'Champney Caleb',
'Proctor Edward',
'Kent Benjamin',
'Stoddard Jonathan',
'Holmes Nathaniel',
'Ruddock Abiel',
'Swan James',
'Peck Thomas',
'Tileston Thomas',
'Symmes Eben',
'Molineux William',
'Hitchborn Thomas',
'Burt Benjamin',
'Barber Nathaniel',
'Pearce IsaacJun',
'Condy JamesFoster',
'Morton Perez',
'Johonnott Gabriel',
'Pulling John',
'Merrit John',
'Chrysty Thomas',
'Emmes Samuel',
'Sharp Gibbens',
'Kimball Thomas',
'Adams Samuel',
'Parkman Elias',
'Greenleaf Joseph',
'Grant Moses',
'Ballard John',
'Chadwell Mr',
'Adams John',
'Edes Benjamin',
'Church Benjamin',
'Bass Henry',
'Stoddard Asa',
'Winthrop John',
'Cheever Ezekiel',
'Palms Richard',
'Breck William',
'Warren Joseph',
'Cazneau Capt',
'Lowell John',
'Symmes John',
'Hoskins William',
'Young Thomas',
'Matchett John',
'Collson Adam',
'Allen Dr',
'Pearce Isaac',
'White Samuel',
'Hickling William',
'Story Elisha',
'Boit John',
'Appleton Nathaniel',
'Sigourney John',
'Chase Thomas',
'Dennie William'],
['Revere Paul',
'Urann Thomas',
'Ruddock Abiel',
'Proctor Edward',
'Barber Nathaniel',
'Condy JamesFoster',
'Pulling John',
'Parkman Elias',
'Adams Samuel',
'Greenleaf Joseph',
'Grant Moses',
'Church Benjamin',
'Bass Henry',
'Winthrop John',
'Cheever Ezekiel',
'Chase Thomas',
'Warren Joseph',
'Barrett Samuel',
'Eayres Joseph'],
['Revere Paul',
'Urann Thomas',
'Ruddock Abiel',
'Proctor Edward',
'Barber Nathaniel',
'Condy JamesFoster',
'Pulling John',
'Parkman Elias',
'Adams Samuel',
'Greenleaf Joseph',
'Grant Moses',
'Church Benjamin',
'Bass Henry',
'Winthrop John',
'Cheever Ezekiel',
'Chase Thomas',
'Warren Joseph',
'Eayres Joseph',
'Young Thomas',
'Swan James',
'Collson Adam',
'Story Elisha',
'Molineux William'],
['Revere Paul',
'Urann Thomas',
'Adams Samuel',
'Proctor Edward',
'Cooper Samuel',
'Church Benjamin',
'Warren Joseph',
'Molineux William',
'Bass Henry',
'Young Thomas',
'Collson Adam',
'Swan James',
'Story Elisha',
'Grant Moses',
'Chase Thomas',
'Barber Nathaniel',
'Condy JamesFoster',
'Adams John'],
['Revere Paul',
'Urann Thomas',
'Adams Samuel',
'Proctor Edward',
'Cooper Samuel',
'Church Benjamin',
'Warren Joseph',
'Molineux William',
'Bass Henry',
'Young Thomas',
'Collson Adam',
'Swan James',
'Story Elisha',
'Grant Moses',
'Chase Thomas',
'Barber Nathaniel',
'Condy JamesFoster',
'Eayres Joseph'],
['Revere Paul',
'Urann Thomas',
'Peck Samuel',
'Flagg Josiah',
'Inglish Alexander',
'Lewis Phillip',
'Potter Edward',
'McAlpine William',
'Seward James',
'Brown Hugh',
'Bray George',
'Sloper Ambrose',
'Hitchborn Nathaniel',
'Deshon Moses',
'Burbeck Edward',
'Ash Gilbert',
'Milliken Thomas',
'Burbeck William',
'Pulling Richard',
'Ferrell Ambrose',
'Gould William',
'Collins Ezra',
'Doyle Peter',
'Chipman Seth',
'Hoffins John',
'Blake Increase',
'Bell William',
'Jenkins John',
'Gray Wait',
'Moody Samuel',
'Tabor Philip',
'Nicholls Unknown',
'Wingfield William',
'Stanbridge Henry',
'Barrett Samuel',
'Obear Israel',
'Crafts Thomas',
'Webster Thomas',
'Palfrey William',
'Webb Joseph',
'Marlton John',
'Jarvis Edward',
'Warren Joseph',
'Kerr Walter',
'Marett Phillip',
'Jefferds Unknown',
'Cailleteau Edward',
'Phillips John',
'Callendar Elisha',
'Graham James',
'Whitten John',
'Ham William',
'Welles Henry'],
['Revere Paul',
'Urann Thomas',
'Peck Samuel',
'Bass Henry',
'Chase Thomas',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Eayres Joseph',
'Barber Nathaniel',
'Barrett Samuel',
'Warren Joseph'],
['Revere Paul',
'Urann Thomas',
'Peck Samuel',
'Bass Henry',
'Chase Thomas',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Eayres Joseph',
'Barber Nathaniel',
'Story Elisha',
'Molineux William',
'Cooper Samuel',
'Young Thomas',
'Swan James',
'Collson Adam',
'Eckley Unknown',
'Peters John',
'Cochran John',
'Russell William',
'Newell Eliphelet',
'Greene Nathaniel',
'Hunt Abraham',
'Gammell John',
'Davis Robert',
'Fenno Samuel',
'Palmer Joseph',
'Willis Nathaniel',
'May John',
'Hendley William',
'Simpson Benjamin',
'Russell John',
'Slater Peter',
'Crane John',
'Prentiss Henry',
'Hooton John',
'Shed Joseph',
'Randall John',
'Starr James',
'Stearns Phineas',
'Prince John',
'Howe Edward',
'Roby Joseph',
'Parker Jonathan',
'Payson Joseph',
'Mountford Joseph',
'Bewer James',
'Collier Gershom',
'Lee Joseph',
'Frothingham Nathaniel',
'Hobbs Samuel',
'Loring Matthew',
'Melville Thomas',
'MacKintosh Capt',
'Hammond Samuel',
'Hewes George',
'Gore Samuel',
'Hunnewell Jonathan',
'Stevens Ebenezer',
'Dolbear Edward',
'Hunstable Thomas',
'Ingersoll Daniel',
'Moore Thomas',
'Hicks John',
'Bolter Thomas',
'Burton Benjamin',
'Machin Thomas',
'Sprague Samuel',
'Hunnewell Richard',
'Howard Samuel',
'Bradlee Josiah',
'Wheeler Josiah',
'Bradlee David',
'Williams Jeremiah',
'Pierce William',
'Etheridge William',
'Pitts Lendall',
'Lincoln Amos',
'Purkitt Henry',
'Wyeth Joshua',
'Campbell Nicholas',
'Williams Thomas',
'Eaton Joseph',
'Porter Thomas',
'Foster Samuel',
'MacNeil Archibald',
'Morse Anthony',
'Bradlee Thomas',
'Colesworthy Gilbert',
'Kinnison David',
'Sessions Robert',
'Bruce Stephen',
'Clarke Benjamin',
'Bradlee Nathaniel',
'Barnard Samuel',
'Spurr John',
'Spear Thomas'],
['Revere Paul',
'Urann Thomas',
'Peck Samuel',
'Bass Henry',
'Chase Thomas',
'Proctor Edward',
'Condy JamesFoster',
'Grant Moses',
'Eayres Joseph',
'Barber Nathaniel',
'Story Elisha',
'Molineux William',
'Cooper Samuel',
'Young Thomas',
'Swan James',
'Collson Adam',
'Warren Joseph'],
['Revere Paul',
'Urann Thomas',
'Peck Samuel',
'Bass Henry',
'Chase Thomas',
'Welles Henry',
'Barrett Samuel',
'Warren Joseph',
'Crafts Thomas'],
['Revere Paul',
'Urann Thomas',
'Edes Benjamin',
'Bass Henry',
'Chase Thomas',
'Warren Joseph',
'Welles Henry',
'Crafts Thomas']]