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Keywords = revised edge-Szeged index

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Article
Extremal Structure on Revised Edge-Szeged Index with Respect to Tricyclic Graphs
by Tongkun Qu and Shengjin Ji
Symmetry 2022, 14(8), 1646; https://doi.org/10.3390/sym14081646 - 10 Aug 2022
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Abstract
For a given graph G, [...] Read more.
For a given graph G, Sze*(G)=e=uvE(G)mu(e)+m0(e)2mv(e)+m0(e)2 is the revised edge-Szeged index of G, where mu(e) and mv(e) are the number of edges of G lying closer to vertex u than to vertex v and the number of edges of G lying closer to vertex v than to vertex u, respectively, and m0(e) is the number of edges equidistant to u and v. In this paper, we identify the lower bound of the revised edge-Szeged index among all tricyclic graphs and also characterize the extremal structure of graphs that attain the bound. Full article
(This article belongs to the Special Issue Symmetry in Graph and Hypergraph Theory)
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