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Entropy of weighted graphs with Randić weights

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Details

Original languageEnglish
Pages (from-to)3710-3723
Number of pages14
JournalEntropy
Volume17
Issue number6
DOIs
Publication statusPublished - 2015
Publication typeA1 Journal article-refereed

Abstract

Shannon entropies for networks have been widely introduced. However, entropies for weighted graphs have been little investigated. Inspired by the work due to Eagle et al., we introduce the concept of graph entropy for special weighted graphs. Furthermore, we prove extremal properties by using elementary methods of classes of weighted graphs, and in particular, the one due to Bollobás and Erdös, which is also called the Randić weight. As a result, we derived statements on dendrimers that have been proven useful for applications. Finally, some open problems are presented.

ASJC Scopus subject areas

Keywords

  • Extremal value, Graph entropy, Randić weight, Shannon's entropy, Weighted graphs

Publication forum classification

Field of science, Statistics Finland