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You may also take a look at the source code.
The networks in this dataset can be loaded directly from graph-tool with:
import graph_tool.all as gt
g = gt.collection.ns["twitter_events/NYClimateMarch2014"]
(and likewise for the other networks available.)

twitter_events — Twitter, 5 events (2013-2014)

Description

Various multiplex networks of retweets, mentions, and replies among Twitter users during specific events or occasions in 2013 and 2014.1


  1. Description obtained from the ICON project. 

Tags
Social Online Multilayer Unweighted
Citation
Upstream URL OK
https://manliodedomenico.com/data.php
Upstream license
Open Data Commons Open Database License (ODbL), https://opendatacommons.org/licenses/odbl/
Networks
Tip: click on the table header to sort the list. Hover your mouse over it to obtain a legend.
Name Nodes Edges $\left<k\right>$ $\sigma_k$ $\lambda_h$ $\tau$ $r$ $c$ $\oslash$ $S$ Kind Mode NPs EPs gt GraphML GML csv
NYClimateMarch2014 102,439 353,495 3.45 81.41 139.00 206.47 -0.11 0.01 12 0.97 Directed Unipartite name nodeLabel weight layer 2.3 MiB 4.3 MiB 3.9 MiB 3.2 MiB
Cannes2013 438,537 991,854 2.26 55.27 94.95 2685.36 -0.09 0.00 18 0.85 Directed Unipartite name nodeLabel weight layer 9.0 MiB 15.7 MiB 14.8 MiB 13.0 MiB
MoscowAthletics2013 88,804 210,250 2.37 56.37 80.07 491.78 -0.17 0.01 18 0.92 Directed Unipartite name nodeLabel weight layer 1.8 MiB 3.2 MiB 3.0 MiB 2.4 MiB
MLKing2013 327,707 396,671 1.21 38.60 34.77 704.05 -0.13 0.00 23 0.82 Directed Unipartite name nodeLabel weight layer 5.8 MiB 9.7 MiB 9.5 MiB 8.2 MiB
ObamaInIsrael2013 2,281,259 4,061,960 1.78 48.90 166.63 2761.87 -0.03 0.00 33 0.67 Directed Unipartite name nodeLabel weight layer 15.0 MiB 27.7 MiB 22.3 MiB 24.1 MiB