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一类3正则图的Balaban指数

武军秀 高玉斌

山西大学学报(自然科学版)2024,Vol.47Issue(5):935-942,8.
山西大学学报(自然科学版)2024,Vol.47Issue(5):935-942,8.DOI:10.13451/j.sxu.ns.2023157

一类3正则图的Balaban指数

Balaban Index of a Kind of 3-regular Graph

武军秀 1高玉斌1

作者信息

  • 1. 中北大学 数学学院,山西 太原 030051
  • 折叠

摘要

Abstract

This paper solves the computing problems of Balaban index for 3-regular graph Ln.By using the method of classification discussion,a formula for the Balaban index of Ln is given and the upper and lower bounds that are easy to compute is acquired from this formula.The results show that the upper bound obtained in this paper is superior to the existing one,and if the order is greater than or equal to 42,the difference between the upper bound and the exact value is less than 0.1.

关键词

Balaban指数/3正则图/距离/上、下界

Key words

Balaban index/3-regular graph/distance/upper and lower bound

分类

数理科学

引用本文复制引用

武军秀,高玉斌..一类3正则图的Balaban指数[J].山西大学学报(自然科学版),2024,47(5):935-942,8.

基金项目

山西省回国留学人员科研项目(2022-149) (2022-149)

山西省自然科学基金(20210302124212) (20210302124212)

山西大学学报(自然科学版)

OA北大核心CSTPCD

0253-2395

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