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几类积图的Sombor指标

阿丽米热·吐尔洪 买吐肉孜·买司地克 刘兆志

新疆师范大学学报(自然科学版)2024,Vol.43Issue(2):17-25,9.
新疆师范大学学报(自然科学版)2024,Vol.43Issue(2):17-25,9.

几类积图的Sombor指标

Sombor Index of Several Kinds of Product Graphs

阿丽米热·吐尔洪 1买吐肉孜·买司地克 1刘兆志1

作者信息

  • 1. 新疆师范大学 数学科学学院,新疆 乌鲁木齐 830017
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摘要

Abstract

Sombor index is a new topological index based on vertex degree introduced by Gutman in Chemical Graph Theory.In this paper,Sombor indices of cartesian products of path Pn with fan graph Fm and wheel graph Wm,wheel graph Wn with fan graph Fm and wheel graph Wm,fan graph Fn with fan graph Fm,and lollipop graph Na,b,barbell graph Da,b,c and kite graph La,b with complete graph Kn are discussed,Sombor indices of Direct products,Cartesian products and Strong products of complete graph,path and cycleare are also studied and the exact index values and some relations of sombor indices about product graph are obtained.

关键词

Sombor指标/笛卡尔积/直积/强积

Key words

Sombor index/Cartesian product/Direct product/Strong product

分类

数理科学

引用本文复制引用

阿丽米热·吐尔洪,买吐肉孜·买司地克,刘兆志..几类积图的Sombor指标[J].新疆师范大学学报(自然科学版),2024,43(2):17-25,9.

基金项目

国家自然科学基金项目(11961070) (11961070)

新疆少数民族科技人才特殊培养计划科研项目(2022D03002). (2022D03002)

新疆师范大学学报(自然科学版)

1008-9659

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