强乘积图的最小强半径

doi:10.13371/j.cnki.chin.q.j.m.2024.01.006

数学季刊 ›› 2024, Vol. 39 ›› Issue (1): 68-72.doi: 10.13371/j.cnki.chin.q.j.m.2024.01.006

强乘积图的最小强半径

刘树洋^1,2, 李峰¹

1. College of Computer Science, Qinghai Normal University, Xining 810000, China; 2. The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810000, China

收稿日期:2022-09-05 出版日期:2024-03-30 发布日期:2024-03-30
通讯作者: LIU Shu-yang (1997-), male, native of Fuzhou, Jiangxi, postgraduate student of Qinghai Normal University, engages in graph theory. E-mail: liushuyang2021@163.com
作者简介: LIU Shu-yang (1997-), male, native of Fuzhou, Jiangxi, postgraduate student of Qinghai Normal University, engages in graph theory; LI Feng (1980-), male, native of Wuhu, Anhui, professor of Qinghai Normal University, Ph.D, engages in graph theory.
基金资助:
Supported by National Natural Science Foundation of China (Grant No. 11551002); Natural Science Foundation of Qinghai Province (Grant No. 2019-ZJ-7093).

Minimum Strong Radius of Strong Product Graphs

LIU Shu-yang^1,2, LI Feng¹

1. College of Computer Science, Qinghai Normal University, Xining 810000, China; 2. The State Key Laboratory of Tibetan Intelligent Information Processing and Application, Xining 810000, China

Received:2022-09-05 Online:2024-03-30 Published:2024-03-30
Contact: LIU Shu-yang (1997-), male, native of Fuzhou, Jiangxi, postgraduate student of Qinghai Normal University, engages in graph theory. E-mail: liushuyang2021@163.com
About author: LIU Shu-yang (1997-), male, native of Fuzhou, Jiangxi, postgraduate student of Qinghai Normal University, engages in graph theory; LI Feng (1980-), male, native of Wuhu, Anhui, professor of Qinghai Normal University, Ph.D, engages in graph theory.
Supported by:
Supported by National Natural Science Foundation of China (Grant No. 11551002); Natural
Science Foundation of Qinghai Province (Grant No. 2019-ZJ-7093).

摘要/Abstract

摘要：

A strong product graph is denoted by G₁ ⊠G₂, where G₁ and G₂ are called its factor graphs. This paper gives the range of the minimum strong radius of the strong product graph. And using the relationship between the cartesian product graph G₁ ×G₂and the strong product graph G₁ ⊠G₂, another different upper bound of the minimum strong radius of the strong product graph is given.

关键词: Strong product graph, Factor graph, Minimum strong radius

Abstract:

A strong product graph is denoted by G1 ⊠G2, where G1 and G2 are called its factor graphs. This paper gives the range of the minimum strong radius of the strong product graph. And using the relationship between the cartesian product graph G1 ×G2 and the strong product graph G1 ⊠G2, another different upper bound of the minimum strong radius of the strong product graph is given.

Key words: Strong product graph, Factor graph, Minimum strong radius

中图分类号:

O157.5

刘树洋, 李峰. 强乘积图的最小强半径[J]. 数学季刊, 2024, 39(1): 68-72.

LIU Shu-yang, LI Feng. Minimum Strong Radius of Strong Product Graphs[J]. Chinese Quarterly Journal of Mathematics, 2024, 39(1): 68-72.

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强乘积图的最小强半径

Minimum Strong Radius of Strong Product Graphs

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