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The maximum Hosoya index of unicyclic graphs with diameter at most four

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Details

Original languageEnglish
Article number1034
JournalSymmetry
Volume11
Issue number8
DOIs
Publication statusPublished - 2019
Publication typeA1 Journal article-refereed

Abstract

The Hosoya index of a graph is defined by the total number of the matchings of the graph. In this paper, we determine the maximum Hosoya index of unicyclic graphs with n vertices and diameter 3 or 4. Our results somewhat answer a question proposed by Wagner and Gutman in 2010 for unicyclic graphs with small diameter.

Keywords

  • Diameter, Hosoya index, Unicyclic graphs

Publication forum classification

Field of science, Statistics Finland