Controlling the Katz-Bonacich Centrality in Social Network: Application to gossip in Online Social Networks

Alexandre Reiffers-Masson 1, 2 Eitan Altman 1 Yezekael Hayel 2
1 MAESTRO - Models for the performance analysis and the control of networks
CRISAM - Inria Sophia Antipolis - Méditerranée
2 LIA - Laboratoire Informatique d'Avignon
Abstract : Recent papers studied the control of spectral centrality measures of a network by manipulating the topology of the network. We extend these works by focusing on a specific spectral centrality measure, the Katz-Bonacich centrality. The optimization of the Katz-Bonacich centrality using a topological control is called the Katz-Bonacich optimization problem. We first prove that this problem is equivalent to a linear optimization problem. Thus, in the context of large graphs, we can use state of the art algorithms. We provide a specific applications of the Katz-Bonacich centrality minimization problem based on the minimization of gossip propagation and make some experiments on real networks.
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Submitted on : Sunday, October 18, 2015 - 8:12:51 PM
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Alexandre Reiffers-Masson, Eitan Altman, Yezekael Hayel. Controlling the Katz-Bonacich Centrality in Social Network: Application to gossip in Online Social Networks. 3rd International Workshop on Big Data and Social Networking Management and Security (BDSN 2015), Dec 2015, Limassol, Cyprus. ⟨hal-01217044⟩

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