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arXiv · 1211.7052

Quantifying the effect of temporal resolution on time-varying networks

Bruno Ribeiro·Nicola Perra·Andrea Baronchelli
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Abstract

Time-varying networks describe a wide array of systems whose constituents and interactions evolve over time. They are defined by an ordered stream of interactions between nodes, yet they are often represented in terms of a sequence of static networks, each aggregating all edges and nodes present in a time interval of size Δt. In this work we quantify the impact of an arbitrary Δt on the description of a dynamical process taking place upon a time-varying network. We focus on the elementary random walk, and put forth a simple mathematical framework that well describes the behavior observed on real datasets. The analytical description of the bias introduced by time integrating techniques represents a step forward in the correct characterization of dynamical processes on time-varying graphs.

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BibTeXRIS

Bruno Ribeiro, Nicola Perra, Andrea Baronchelli. 2013-10-22. Quantifying the effect of temporal resolution on time-varying networks. https://doi.org/10.1038/srep03006

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