Edge modification criteria for enhancing the communicability of digraphs

Francesca Arrigo; Michele Benzi

doi:10.1137/15M1034131

Edge modification criteria for enhancing the communicability of digraphs

Francesca Arrigo, Michele Benzi

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

24 Downloads (Pure)

Abstract

We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques.

Original language	English
Pages (from-to)	443-468
Number of pages	26
Journal	SIAM Journal on Matrix Analysis and Applications
Volume	37
Issue number	1
DOIs	https://doi.org/10.1137/15M1034131
Publication status	Published - 31 Mar 2016

Keywords

network analysis
directed network
hub
authority
edge modification
communicability
matrix function

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10.1137/15M1034131

Arrigo-Benzi-JMAA-2016-Edge-modification-criteria-for-enhancing-the-communicability-of-digraphsFinal published version, 727 KB

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keywords = "network analysis, directed network, hub, authority, edge modification, communicability, matrix function",

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N2 - We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques.

AB - We introduce new broadcast and receive communicability indices that can be used as global measures of how effectively information is spread in a directed network. Furthermore, we describe fast and effective criteria for the selection of edges to be added to (or deleted from) a given directed network so as to enhance these network communicability measures. Numerical experiments illustrate the effectiveness of the proposed techniques.

KW - network analysis

KW - directed network

KW - hub

KW - authority

KW - edge modification

KW - communicability

KW - matrix function

UR - https://arxiv.org/abs/1508.01056

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DO - 10.1137/15M1034131

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JO - SIAM Journal on Matrix Analysis and Applications

JF - SIAM Journal on Matrix Analysis and Applications

IS - 1

ER -

Edge modification criteria for enhancing the communicability of digraphs

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Keywords

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