图的乘性Sombor指数

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2022-03-28 DOI:10.47443/dml.2021.s213

Hechao Liu

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引用次数: 3

摘要

图G的Sombor指数被定义为SO（G）=（cid:80）uv∈E（G）（cid:112）d2 G（u）+d2 G（v），其中d G（u）表示G的顶点u的阶。因此，G的乘法Sombor指数可以定义为（cid:81）SO（G）=（cid:81）uv∈E（G）（cid:112）d2 G（u）+d2 G（v）。本文首先介绍了一些增加或减少乘性Sombor指数的图变换。然后利用这些变换，确定了树和单圈图的乘性Sombor指数的极值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Multiplicative Sombor Index of Graphs

The Sombor index of a graph G is deﬁned as SO ( G ) = (cid:80) uv ∈ E ( G ) (cid:112) d 2 G ( u ) + d 2 G ( v ) , where d G ( u ) denotes the degree of the vertex u of G . Accordingly, the multiplicative Sombor index of G can be deﬁned as (cid:81) SO ( G ) = (cid:81) uv ∈ E ( G ) (cid:112) d 2 G ( u ) + d 2 G ( v ) . In this article, some graph transformations which increase or decrease the multiplicative Sombor index are ﬁrst introduced. Then by using these transformations, extremal values of the multiplicative Sombor index of trees and unicyclic graphs are determined.

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来源期刊

Discrete Mathematics Letters Mathematics-Discrete Mathematics and Combinatorics

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

12 weeks