Randic index, irregularity and complex biomolecular networks

Estrada, Ernesto (2010) Randic index, irregularity and complex biomolecular networks. Acta Chimica Slovenica, 57. pp. 597-603. ISSN 1318-0207

Abstract

A new formulation of Randic index is carried out as a minimization of a quadratic form which involves the Laplacian matrix of a graph. Using this formulation it is easy to realize that Randic index is useful in defining a new index of irregularity, which is then formulated here. A new context for the study of irregularity of graphs is advanced as a necessity for studying complex (biological) networks. We analyze both Randic and irregularity indices for random networks with Poisson and power-law degree distributions.

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• Item metadata

  Item type:	Article
  ID code:	28250
  Dates:	Date Event 2010 Published
  Subjects:	Science > Mathematics Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics
  Depositing user:	Mrs Carolynne Westwood
  Date deposited:	14 Oct 2010 15:12
  Last modified:	08 Apr 2024 18:27
  URI:	https://strathprints.strath.ac.uk/id/eprint/28250