Matrix-Vector Approach to Construct Generalized Centrality Indices in Networks

21 Pages Posted: 16 Jun 2020

See all articles by Fuad Aleskerov

Fuad Aleskerov

affiliation not provided to SSRN

Viacheslav Yakuba

National Research University Higher School of Economics (Moscow); Trapeznikov Institute of Control Sciences RAS

Date Written: May 11, 2020

Abstract

We introduce a class of new centrality indices in networks which take into account a parameter of a node, direct and indirect (with fixed length of the path) connections of nodes, and a group influence of nodes to a node. Total influence is evaluated as a linear combination of its components, however, other rules can be used as well.

Keywords: network centrality indices, direct and indirect influence, group influence in networks

JEL Classification: H12

Suggested Citation

Aleskerov, Fuad and Yakuba, Viacheslav, Matrix-Vector Approach to Construct Generalized Centrality Indices in Networks (May 11, 2020). Available at SSRN: https://ssrn.com/abstract=3597948 or http://dx.doi.org/10.2139/ssrn.3597948

Fuad Aleskerov (Contact Author)

affiliation not provided to SSRN

Viacheslav Yakuba

National Research University Higher School of Economics (Moscow) ( email )

Moscow

Trapeznikov Institute of Control Sciences RAS ( email )

65 Profsoyuznaya street
Moscow, 117997
Russia

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