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Finding multiple core-periphery pairs in networks

2017/02/28 by Sadamori Kojaku, Naoki Masuda
Physics and Astronomy · Computer Science · #physics.soc-ph #cs.SI

paper · pdf · doi:10.1103/physreve.96.052313

published as Phys. Rev. E 96, 052313 (2017) · 11 figures and 9 tables. MATLAB codes are available at www.naokimasuda.net/cp_codes.zip

arxiv created 2017/11/22 · arxiv updated 2017/11/23

Abstract

With a core-periphery structure of networks, core nodes are densely interconnected, peripheral nodes are connected to core nodes to different extents, and peripheral nodes are sparsely interconnected. Core-periphery structure composed of a single core and periphery has been identified for various networks. However, analogous to the observation that many empirical networks are composed of densely interconnected groups of nodes, i.e., communities, a network may be better regarded as a collection of multiple cores and peripheries. We propose a scalable algorithm to detect multiple non-overlapping groups of core-periphery structure in a network. We illustrate our algorithm using synthesised and empirical networks. For example, we find distinct core-periphery pairs with different political leanings in a network of political blogs and separation between international and domestic subnetworks of airports in some single countries in a world-wide airport network.

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