Betweenness centrality correlation in social networks

Kwang-Il Goh, E. Oh, B. Kahng, D. Kim

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

Scale-free (SF) networks exhibiting a power-law degree distribution can be grouped into the assortative, dissortative, and neutral networks according to the behavior of the degree-degree correlation coefficient. Here we investigate the betweenness centrality (BC) correlation for each type of SF networks. While the BC-BC correlation coefficients behave similarly to the degree-degree correlation coefficients for the dissortative and neutral networks, the BC correlation is nontrivial for the assortative ones found mainly in social networks. The mean BC of neighbors of a vertex with BC [Formula presented] is almost independent of [Formula presented] implying that each person is surrounded by almost the same influential environments of people no matter how influential the person may be.

Original languageEnglish
Number of pages1
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume67
Issue number1
DOIs
Publication statusPublished - 2003 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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