2017 CorePeripheryStructureinNetwork

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Subject Headings: Core-Periphery (CP) Graph Structure, Graph Structure, Community Structure.

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Abstract

Intermediate-scale (or 'meso-scale') structures in networks have received considerable attention, as the algorithmic detection of such structures makes it possible to discover network features that are not apparent either at the local scale of nodes and edges or at the global scale of summary statistics. Numerous types of meso-scale structures can occur in networks, but investigations of such features have focused predominantly on the identification and study of community structure. In this paper, we develop a new method to investigate the meso-scale feature known as core-periphery structure, which entails identifying densely connected core nodes and sparsely connected peripheral nodes. In contrast to communities, the nodes in a core are also reasonably well-connected to those in a network's periphery. Our new method of computing core-periphery structure can identify multiple cores in a network and takes into account different possible core structures. We illustrate the differences between our method and several existing methods for identifying which nodes belong to a core, and we use our technique to examine core-periphery structure in examples of friendship, collaboration, transportation, and voting networks. For this new SIGEST version of our paper, we also discuss our work's relevance in the context of recent developments in the study of core-periphery structure.

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 AuthorvolumeDate ValuetitletypejournaltitleUrldoinoteyear
2017 CorePeripheryStructureinNetworkPuck Rombach
Mason A. Porter
James H. Fowler
Peter J. Mucha
Core-periphery Structure in Networks (revisited)10.1137/17M11300462017