Resistance distance, information centrality, node vulnerability and vibrations in complex networks

Ernesto Estrada, Naomichi Hatano

Research output: Chapter in Book/Report/Conference proceedingChapter

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Abstract

We discuss three seemingly unrelated quantities that have been introduced in different fields of science for complex networks. The three quantities are the resistance distance, the information centrality and the node displacement. We first prove various relations among them. Then we focus on the node displacement, showing its usefulness as an index of node vulnerability.We argue that the node displacement has a better resolution as a measure of node vulnerability than the degree and the information centrality.
Original languageEnglish
Title of host publicationNetwork Science
Subtitle of host publicationComplexity in Nature and Technology
EditorsErnesto Estrada, Maria Fox, Desmond J. Higham, Gian-Luca Oppo
PublisherSpringer
Number of pages18
ISBN (Print)9781849963954
Publication statusPublished - 20 Sep 2010

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Keywords

  • node displacement
  • resistance distance
  • information centrality

Cite this

Estrada, E., & Hatano, N. (2010). Resistance distance, information centrality, node vulnerability and vibrations in complex networks. In E. Estrada, M. Fox, D. J. Higham, & G-L. Oppo (Eds.), Network Science: Complexity in Nature and Technology Springer.