Sombor能量与Hückel规则

IF 1 Q1 MATHEMATICS

Discrete Mathematics Letters Pub Date : 2022-02-21 DOI:10.47443/dml.2021.s211

I. Gutman, Izudin Redžepović

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引用次数: 4

摘要

Sombor索引是最近发明的一种基于顶点度的图不变量，它对图中包含的循环的大小不敏感。与此相反，Sombor能量，Sombor矩阵的绝对值之和，被发现具有显著的循环大小依赖关系。在二部图的情况下，这种依赖类似于h ckel (4n+ 2)规则:循环的大小为4,8,12，…减小，循环大小6,10,12，…增加Sombor能量。提出了一个定理来证实这一经验观察。

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Sombor Energy and Hückel Rule

The Sombor index, a recently invented vertex-degree-based graph invariant, is insensitive to the size of cycles contained in a graph. In contrast to this, the Sombor energy, the sum of absolute values of the Sombor matrix, is found to have a significant cycle-size dependence. In the case of bipartite graphs, this dependence is analogous to the Hückel (4n+ 2)-rule: cycles of size 4, 8, 12, . . . decrease, and cycles of size 6, 10, 12, . . . increase the Sombor energy. A theorem corroborating this empirical observation is offered.

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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