Randic index, irregularity and complex biomolecular networks

Ernesto Estrada

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17 Citations (Scopus)


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.
Original languageEnglish
Pages (from-to)597-603
Number of pages6
JournalActa Chimica Slovenica
Publication statusPublished - 2010

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