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Graph distance measures based on topological indices revisited

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Details

Original languageEnglish
Pages (from-to)623-633
Number of pages11
JournalApplied Mathematics and Computation
Volume266
DOIs
Publication statusPublished - 18 Jun 2015
Publication typeA1 Journal article-refereed

Abstract

Graph distance measures based on topological indices have been already explored by Dehmer et al. Also, inequalities for those graph distance measures have been proved. In this paper, we continue studying such comparative graph measures based on the well-known Wiener index, graph energy and Randić index, respectively. We prove extremal properties of the graph distance measures for some special classes of graphs. To demonstrate useful properties of the measures, we also discuss numerical results. To conclude the paper we state some open problems.

Keywords

  • Distance measure, Edit distance, Extremal graph, Topological index

Publication forum classification

Field of science, Statistics Finland