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

Abstract. 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 in [10]. Experimental results of the application of atemporal metrics applied to a portion of the scientific community of arXiv are provided.

• Type: Journal
• Year: 2011
• Where: CORR
• Authors: Nicola Santoro, Walter Quattrociocchi, Paola Flocchini, Arnaud Casteigts, Frédéric Amblard
• Keywords: CORR 2011, Education, General Formal Approach, Social Networks Analysis, Time-varying Graph Formalism