21 Scopus citations

Abstract

In past two decades a wide range of complex systems, spanning many different disciplines, have been structured in the form of networks. Network dimension is a crucial concept to understand not only network topology, but also dynamical processes on networks. From the perspective of the box covering, volume dimension, information dimension, and correlation dimension several approaches have been proposed. We modify the commonly used definitions of the box dimension and information dimension to introduce a d-summable approach (a geometric notion that comes from geometric measure theory) of these dimensions. It is applied to calculate d-summable information dimension of several real complex networks. We offer empirical evidence to support the conjecture that d-summable information model worth carrying out than information model for several networks.

Original languageEnglish
Pages (from-to)210-214
Number of pages5
JournalChaos, Solitons and Fractals
Volume119
DOIs
StatePublished - Feb 2019

Keywords

  • Box-counting algorithm
  • Complex networks
  • D-summability
  • Fractals
  • Information dimensions

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