Time-Varying Graphs and Social Network Analysis: Temporal Indicators and Metrics

Nicola Santoro (1) , Walter Quattrociocchi (2) , Paola Flocchini (2) , Arnaud Casteigts (3) , Frédéric Amblard (4, 5)

1 School of Computer Science [Ottawa]
2 SITE - School of Information Technology and Engineering [Ottawa]
3 LaBRI - Laboratoire Bordelais de Recherche en Informatique
4 IRIT-SMAC - Systèmes Multi-Agents Coopératifs
5 UT Capitole - Université Toulouse Capitole

Most instruments - formalisms, concepts, and metrics - for social networks analysis fail to capture their dynamics. Typical systems exhibit different scales of dynamics, ranging from the fine-grain dynamics of interactions (which recently led researchers to consider temporal versions of distance, connectivity, and related indicators), to the evolution of network properties over longer periods of time. This paper proposes a general formal approach to study networks' structural evolution for both atemporal and temporal indicators, based respectively on sequences of static graphs and sequences of time-varying graphs that cover successive time-windows. All the concepts and indicators, some of which are new, are expressed using a time-varying graph formalism recently proposed. Experimental results of the application of atemporal metrics applied to a portion of the scientific community of arXiv are provided.

Domaines: Calcul parallèle, distribué et partagé [cs.DC]; Sociologie

Nicola Santoro, Walter Quattrociocchi, Paola Flocchini, Arnaud Casteigts, Frédéric Amblard. Time-Varying Graphs and Social Network Analysis: Temporal Indicators and Metrics. Workshop on Social Networks And MultiAgent Systems (SNAMAS), Apr 2011, Leicester, United Kingdom. pp.32-38. ⟨hal-00854313⟩