Title
Centrality metrics and localization in core-periphery networks
Abstract
Two concepts of centrality have been defined in complex networks. The first considers the centrality of a node and many different metrics for it have been defined (e.g. eigenvector centrality, PageRank, non-backtracking centrality, etc). The second is related to large scale organization of the network, the core-periphery structure, composed by a dense core plus an outlying and loosely-connected periphery. In this paper we investigate the relation between these two concepts. We consider networks generated via the stochastic block model, or its degree corrected version, with a core-periphery structure and we investigate the centrality properties of the core nodes and the ability of several centrality metrics to identify them. We find that the three measures with the best performance are marginals obtained with belief propagation, PageRank, and degree centrality, while non-backtracking and eigenvector centrality (or MINRES [10], showed to be equivalent to the latter in the large network limit) perform worse in the investigated networks.
Year
DOI
Venue
2015
10.1088/1742-5468/2016/02/023401
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
Keywords
Field
DocType
message-passing algorithms,random graphs,networks,clustering techniques
Network science,Discrete mathematics,Random walk closeness centrality,Quantum mechanics,Network controllability,Centrality,Theoretical computer science,Betweenness centrality,Complex network,Network theory,Katz centrality,Mathematics
Journal
Volume
Issue
ISSN
abs/1510.01116
2
1742-5468
Citations 
PageRank 
References 
2
0.40
10
Authors
3
Name
Order
Citations
PageRank
Paolo Barucca1113.76
Daniele Tantari2152.78
Fabrizio Lillo34110.66