Spanning Edge Betweenness in Practice

  • Andreia Sofia Teixeira
  • Francisco C. Santos
  • Alexandre P. Francisco
Chapter
Part of the Studies in Computational Intelligence book series (SCI, volume 644)

Abstract

In this paper we present a study about spanning edge betweenness, an edge-based metric for complex network analysis that is defined as the probability of an edge being part of a minimum spanning tree. This probability reflects how redundant an edge is in what concerns the connectivity of a given network and, hence, its value gives information about the network topology. We apply this metric to distinct empirical networks and random graph models, showing that spanning edge betweenness allows us to identify those edges that are more relevant for connectivity and how removing them leads to disruption in network structure.

Keywords

Spanning edge betweenness Network analysis Edge centrality measures 

Notes

Acknowledgments

This work was partly supported by national funds through FCT—Fundação para a Ciência e Tecnologia, under projects Incentivo/EEI/LA0021/2014, EXCL/EEI-ESS/0257/2012, UID/CEC/50021/2013, PTDC/EEI-SII/5081/2014, and PTDC/MA T/STA/3358/2014.

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Andreia Sofia Teixeira
    • 1
  • Francisco C. Santos
    • 1
  • Alexandre P. Francisco
    • 1
  1. 1.INESC-ID/Instituto Superior TécnicoUniversidade de LisboaLisbonPortugal

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