若干有向卡氏积图类广义3-弧强连通度的精确值
Precise Values for the Generalized 3-Arc-Connectivity of Cartesian Product of Some Digraph Classes
DOI: 10.12677/AAM.2022.118563, PDF,   
作者: 喻俊燃:绍兴文理学院,数理信息学院,浙江 绍兴
关键词: 有向树连通度笛卡尔乘积树连通度Directed Tree Connectivity Cartesian Product Tree Connectivity
摘要: 无向图G的广义k-边连通度的定义是1985年由Hager引入的,这个定义后来又被人们推广到有向图中,并相应定义了有向图中的广义k-弧强连通度。近年来,广义k-弧强连通度的研究得到了很多重要的结果。在本文中,我们给出了某些有向卡氏积图类的3-弧强连通度的精确值。
Abstract: The definition of generalized k-edge connectivity of undirected graph G was introduced by Hager in 1985. This concept was extended to directed graph and the definition of generalized k-arc- connectivity was proposed. In recent years, the study of generalized k-arc-connectivity has achieved many important results. In this paper, we give precise values for the generalized 3-arc-connectivity of Cartesian product of some digraph classes.
文章引用:喻俊燃. 若干有向卡氏积图类广义3-弧强连通度的精确值[J]. 应用数学进展, 2022, 11(8): 5356-5361. https://doi.org/10.12677/AAM.2022.118563

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