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01-12-2016 | Original Article

Finding remarkably dense sequences of contacts in link streams

Authors: Noé Gaumont, Clémence Magnien, Matthieu Latapy

Published in: Social Network Analysis and Mining | Issue 1/2016

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Abstract

A link stream is a set of quadruplets (b, e, u, v) meaning that a link exists between u and v from time b to time e. Link streams model many real-world situations like contacts between individuals, connections between devices, and others. Much work is currently devoted to the generalization of classical graph and network concepts to link streams. We argue that the density is a valuable notion for understanding and characterizing links streams. We propose a method to capture specific groups of links that are structurally and temporally densely connected and show that they are meaningful for the description of link streams. To find such groups, we use classical graph community detection algorithms, and we assess obtained groups. We apply our method to several real-world contact traces (captured by sensors) and demonstrate the relevance of the obtained structures.

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Appendix
Available only for authorised users
Footnotes
1
Other community detection methods can be applied.
 
3
Candidates with one link represent 83 % of all candidates.
 
Literature
go back to reference Ahn Y-Y, Bagrow JP, Lehmann S (2010) Link communities reveal multiscale complexity in networks. Nature 466(7307):761–764CrossRef Ahn Y-Y, Bagrow JP, Lehmann S (2010) Link communities reveal multiscale complexity in networks. Nature 466(7307):761–764CrossRef
go back to reference Aynaud, T, Fleury E, Guillaume J-L, Wang Q (2013) Communities in evolving networks: definitions, detection, and analysis techniques. In: Mukherjee A, Choudhury M, Peruani F, Ganguly N, Mitra B (eds) Dynamics on and of Complex Networks, vol 2. Springer, New York pp 159–200 Aynaud, T, Fleury E, Guillaume J-L, Wang Q (2013) Communities in evolving networks: definitions, detection, and analysis techniques. In: Mukherjee A, Choudhury M, Peruani F, Ganguly N, Mitra B (eds) Dynamics on and of Complex Networks, vol 2. Springer, New York pp 159–200
go back to reference Balalau OD, Bonchi F, Chan T-HH, Gullo F, Sozio M (2015) Finding Subgraphs with maximum total density and limited overlap. In: Proceedings of the eighth ACM international conference on web search and data mining—WSDM ’15. ACM Press, New York, pp 379–388 Balalau OD, Bonchi F, Chan T-HH, Gullo F, Sozio M (2015) Finding Subgraphs with maximum total density and limited overlap. In: Proceedings of the eighth ACM international conference on web search and data mining—WSDM ’15. ACM Press, New York, pp 379–388
go back to reference Blondel VD, Guillaume J-L, Lambiotte R, Lefebvre E (2008) Fast unfolding of communities in large networks. J Stat Mech: Theory Exp 2008(10):P10008CrossRef Blondel VD, Guillaume J-L, Lambiotte R, Lefebvre E (2008) Fast unfolding of communities in large networks. J Stat Mech: Theory Exp 2008(10):P10008CrossRef
go back to reference Bogdanov P, Mongiovì M, Singh AK (2011) Mining heavy subgraphs in time-evolving networks. In: 2011 IEEE 11th international conference on data mining. IEEE, pp 81–90 Bogdanov P, Mongiovì M, Singh AK (2011) Mining heavy subgraphs in time-evolving networks. In: 2011 IEEE 11th international conference on data mining. IEEE, pp 81–90
go back to reference Casteigts A, Flocchini P, Quattrociocchi W, Santoro N (2011) Time-varying graphs and dynamic networks. In: Lecture notes in computer science (including subseries lecture notes in artificial intelligence and lecture notes in bioinformatics), vol 6811. LNCS, pp 346–359 Casteigts A, Flocchini P, Quattrociocchi W, Santoro N (2011) Time-varying graphs and dynamic networks. In: Lecture notes in computer science (including subseries lecture notes in artificial intelligence and lecture notes in bioinformatics), vol 6811. LNCS, pp 346–359
go back to reference Cazabet R, Amblard F, Hanachi C (2010) Detection of overlapping communities in dynamical social networks. In: 2010 IEEE second international conference on social computing (SocialCom) Cazabet R, Amblard F, Hanachi C (2010) Detection of overlapping communities in dynamical social networks. In: 2010 IEEE second international conference on social computing (SocialCom)
go back to reference Eagle N, Pentland AS, Lazer D (2009) Inferring social network structure using mobile phone data. PNAS 106(usually 1):15274–15278CrossRef Eagle N, Pentland AS, Lazer D (2009) Inferring social network structure using mobile phone data. PNAS 106(usually 1):15274–15278CrossRef
go back to reference Epasto A, Lattanzi S, Sozio M (may 2015) Efficient densest subgraph computation in evolving graphs. In: Proceedings of the 24th international conference on world wide web. International World Wide Web Conferences Steering Committee, pp 300–310 Epasto A, Lattanzi S, Sozio M (may 2015) Efficient densest subgraph computation in evolving graphs. In: Proceedings of the 24th international conference on world wide web. International World Wide Web Conferences Steering Committee, pp 300–310
go back to reference Falkowski T, Barth A, Spiliopoulou M (2007) DENGRAPH: a density-based community detection algorithm. In: Proceedings of the IEEE/WIC/ACM international conference on web intelligence, WI 2007. IEEE, pp 112–115 Falkowski T, Barth A, Spiliopoulou M (2007) DENGRAPH: a density-based community detection algorithm. In: Proceedings of the IEEE/WIC/ACM international conference on web intelligence, WI 2007. IEEE, pp 112–115
go back to reference Falkowski T, Spiliopoulou M, Bartelheimer J (2006) Community dynamics mining. In: Proceedings of 14th European conference on information systems (ECIS 2006). Citeseer Falkowski T, Spiliopoulou M, Bartelheimer J (2006) Community dynamics mining. In: Proceedings of 14th European conference on information systems (ECIS 2006). Citeseer
go back to reference Fournet J, Barrat A (2014) Contact patterns among high school students. PloS One 9(9):e107878CrossRef Fournet J, Barrat A (2014) Contact patterns among high school students. PloS One 9(9):e107878CrossRef
go back to reference Gaumont N, Viard T, Fournier-S’niehotta R, Wang Q, Latapy M (2016) Analysis of the temporal and structural features of threads in a mailing-list. In: Cherifi H, Gonçalves B, Menezes R, Sinatra R (eds) Complex networks VII. Springer, Switzerland, pp 107–118 Gaumont N, Viard T, Fournier-S’niehotta R, Wang Q, Latapy M (2016) Analysis of the temporal and structural features of threads in a mailing-list. In: Cherifi H, Gonçalves B, Menezes R, Sinatra R (eds) Complex networks VII. Springer, Switzerland, pp 107–118
go back to reference Greene D, Doyle D, Cunningham P (2010) Tracking the evolution of communities in dynamic social networks. In: 2010 International conference on advances in social networks analysis and mining (ASONAM), ASONAM ’10. IEEE Computer Society, Washington, pp 176–183 Greene D, Doyle D, Cunningham P (2010) Tracking the evolution of communities in dynamic social networks. In: 2010 International conference on advances in social networks analysis and mining (ASONAM), ASONAM ’10. IEEE Computer Society, Washington, pp 176–183
go back to reference Holme P (2015) Modern temporal network theory: a colloquium. Eur Phys J B 88(9):234CrossRef Holme P (2015) Modern temporal network theory: a colloquium. Eur Phys J B 88(9):234CrossRef
go back to reference Holme P, Saramäki J (eds) (2013) Temporal networks. Understanding complex systems. Springer, Berlin Holme P, Saramäki J (eds) (2013) Temporal networks. Understanding complex systems. Springer, Berlin
go back to reference Mitra B, Tabourier L, Roth C (2012) Intrinsically dynamic network communities. Comput Netw 56(3):1041–1053CrossRef Mitra B, Tabourier L, Roth C (2012) Intrinsically dynamic network communities. Comput Netw 56(3):1041–1053CrossRef
go back to reference Rozenshtein P, Tatti N, Gionis A (2014) Discovering dynamic communities in interaction networks. In: Calders T, Esposito F, Hüllermeier E, Meo R (eds) Machine learning and knowledge discovery in databases, vol 8725., Lecture notes in computer scienceSpringer, Berlin, pp 678–693 Rozenshtein P, Tatti N, Gionis A (2014) Discovering dynamic communities in interaction networks. In: Calders T, Esposito F, Hüllermeier E, Meo R (eds) Machine learning and knowledge discovery in databases, vol 8725., Lecture notes in computer scienceSpringer, Berlin, pp 678–693
go back to reference Samudrala R, Moult J (1998) A graph-theoretic algorithm for comparative modeling of protein structure. J Mol Biol 279(1):287–302CrossRef Samudrala R, Moult J (1998) A graph-theoretic algorithm for comparative modeling of protein structure. J Mol Biol 279(1):287–302CrossRef
go back to reference Saramäki J, Moro E (2015) From seconds to months: an overview of multi-scale dynamics of mobile telephone calls. Eur Phys J B 88(6):164CrossRef Saramäki J, Moro E (2015) From seconds to months: an overview of multi-scale dynamics of mobile telephone calls. Eur Phys J B 88(6):164CrossRef
go back to reference Sekara V, Stopczynski A, Lehmann S (2016) Fundamental structures of dynamic social networks. In: Proceedings of the national academy of sciences, p 201602803 Sekara V, Stopczynski A, Lehmann S (2016) Fundamental structures of dynamic social networks. In: Proceedings of the national academy of sciences, p 201602803
go back to reference Speidel L, Takaguchi T, Masuda N (2015) Community detection in directed acyclic graphs. Eur Phys J B 88(8):203CrossRef Speidel L, Takaguchi T, Masuda N (2015) Community detection in directed acyclic graphs. Eur Phys J B 88(8):203CrossRef
go back to reference Strandburg-Peshkin A, Farine DR, Couzin ID, Crofoot MC (2015) Shared decision-making drives collective movement in wild baboons. Science 348(6241):1358–1361CrossRef Strandburg-Peshkin A, Farine DR, Couzin ID, Crofoot MC (2015) Shared decision-making drives collective movement in wild baboons. Science 348(6241):1358–1361CrossRef
go back to reference Tournoux P-U, Leguay J, Benbadis F, Conan V, Dias de Amorim M, Whitbeck J (2009) The accordion phenomenon: analysis, characterization, and impact on DTN routing. In: IEEE INFOCOM 2009—the 28th conference on computer communications. IEEE, pp 1116–1124 Tournoux P-U, Leguay J, Benbadis F, Conan V, Dias de Amorim M, Whitbeck J (2009) The accordion phenomenon: analysis, characterization, and impact on DTN routing. In: IEEE INFOCOM 2009—the 28th conference on computer communications. IEEE, pp 1116–1124
go back to reference Viard T, Latapy M (apr 2014) Identifying roles in an IP network with temporal and structural density. In: 2014 IEEE Conference on computer communications workshops (INFOCOM WKSHPS). IEEE, pp 801–806 Viard T, Latapy M (apr 2014) Identifying roles in an IP network with temporal and structural density. In: 2014 IEEE Conference on computer communications workshops (INFOCOM WKSHPS). IEEE, pp 801–806
go back to reference Yang J, Leskovec J (feb 2013) Overlapping community detection at scale. In: Proceedings of the sixth ACM international conference on Web search and data mining—WSDM ’13. ACM Press, New York, p 587 Yang J, Leskovec J (feb 2013) Overlapping community detection at scale. In: Proceedings of the sixth ACM international conference on Web search and data mining—WSDM ’13. ACM Press, New York, p 587
Metadata
Title
Finding remarkably dense sequences of contacts in link streams
Authors
Noé Gaumont
Clémence Magnien
Matthieu Latapy
Publication date
01-12-2016
Publisher
Springer Vienna
Published in
Social Network Analysis and Mining / Issue 1/2016
Print ISSN: 1869-5450
Electronic ISSN: 1869-5469
DOI
https://doi.org/10.1007/s13278-016-0396-z

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