关联图能量与Sombor指数

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2021-09-23 DOI:10.47443/dml.2021.0085

Alper Ülker, Arif Gürsoy, N. Gürsoy, I. Gutman

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引用次数: 5

摘要

图的能量（ε）是其特征值的绝对值之和，因此它是一个基于图谱的量。Sombor指数（SO）是最近提出的一种基于顶点度的拓扑指数。我们建立了ε和SO之间的各种关系，其中有下界和上界。这些关系改进并扩展了论文[A.Ülker，A.Gürsoy，N.K.Gürssoy，MATCH Commun.Math.Comput.Chem.87（2022）51-58]中传达的早期结果。

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Relating graph energy and Sombor index

The energy of a graph (ε) is the sum of absolute values of its eigenvalues, thus it is a graph-spectrum-based quantity. The Sombor index (SO) is a recently conceived vertex-degree-based topological index. We establish various relations between ε and SO, among which are lower and upper bounds. These relations improve and extend earlier results communicated in the paper [A. Ülker, A. Gürsoy, N. K. Gürsoy, MATCH Commun. Math. Comput. Chem. 87 (2022) 51–58].

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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