Extremal Structure on Revised Edge-Szeged Index with Respect to Tricyclic Graphs

Author:

Qu Tongkun,Ji Shengjin

Abstract

For a given graph G, Sze*(G)=∑e=uv∈E(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.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

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