The (Vertex) Gutman Index of One Vertex Union of Two Cycles

Abstract The Gutman index is a variant of the Wiener index, which related to the degree and the distance. In this paper, we study the vertex Gutman indices of a special kind of graphs, one vertex union of two cycles. And the maximum and minimum of vertex Gutman indices are studied. The results show...

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Bibliographic Details
Published inJournal of physics. Conference series Vol. 2173; no. 1; pp. 12017 - 12022
Main Authors Wang, Kelun, Guo, Haili
Format Journal Article
LanguageEnglish
Published Bristol IOP Publishing 01.01.2022
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Physics
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Summary:Abstract The Gutman index is a variant of the Wiener index, which related to the degree and the distance. In this paper, we study the vertex Gutman indices of a special kind of graphs, one vertex union of two cycles. And the maximum and minimum of vertex Gutman indices are studied. The results show that the vertex Gutman indices has the maximum at the center and has minimum at some vertices nearest the center.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/2173/1/012017