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The Structure of Complex NetworksTheory and Applications$
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Ernesto Estrada

Print publication date: 2011

Print ISBN-13: 9780199591756

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199591756.001.0001

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Centrality measures

Centrality measures

Chapter:
(p.121) 7 Centrality measures
Source:
The Structure of Complex Networks
Author(s):

Ernesto Estrada

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199591756.003.0007

This chapter discusses the concept of node centrality in complex networks and explains the concepts of degree, Katz, eigenvector, subgraph, returnability, PageRank, vibrational, closeness, and betweenness centrality. In all cases, the centrality measures are analysed for undirected and directed networks, and several variations of some of the indices are also discussed, such as the shortest path, random walk, flow, and communicability betweenness. Examples of the application of these concepts in simple and real-world networks are provided.

Keywords:   degree centrality, katz centrality, eigenvector centrality, subgraph centrality, node returnability, pageRank centrality, vibrational centrality, closeness centrality, betweenness centralities

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