交换交叉立方体的广义三连通性

IF 0.6 4区计算机科学 Q4 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Foundations of Computer Science Pub Date : 2024-02-06 DOI:10.1142/s0129054124500011

Wantao Ning, Litao Guo

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引用次数: 0

摘要

设[公式：见正文]为连通图，且[公式：见正文]具有[公式：见正文]。[式：见文本]是指在[式：见文本]中，对于不同的[式：见文本]，[式：见文本]的边相交树[式：见文本]的最大数目。公式：见文本]的广义[公式：见文本]连接性（用[公式：见文本]表示）定义为[公式：见文本]在所有具有[公式：见文本]的[公式：见文本]上的最小值。事实上，[公式：见文本]正是[公式：见文本]的传统连通性。交换交叉立方体[式：见文本]是超立方体的一种变体，它比超立方体的其他变体具有更好的性质。在这项工作中，我们用[公式：见正文]得到了[公式：见正文]。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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The Generalized 3-Connectivity of Exchanged Crossed Cube

Let [Formula: see text] be a connected graph, and [Formula: see text] with [Formula: see text]. [Formula: see text] refers to the maximum number [Formula: see text] of edge-disjoint trees [Formula: see text] in [Formula: see text] such that [Formula: see text] for distinct [Formula: see text]. The generalized [Formula: see text]-connectivity of [Formula: see text], denoted by [Formula: see text], is defined as the minimum value of [Formula: see text] over all [Formula: see text] with [Formula: see text]. In fact, [Formula: see text] is exactly the traditional connectivity of [Formula: see text]. Exchanged crossed cube [Formula: see text], a variation of hypercube, has better properties than other variations of hypercube. In this work we obtain that [Formula: see text] with [Formula: see text].

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来源期刊

International Journal of Foundations of Computer Science 工程技术-计算机：理论方法

CiteScore

1.60

自引率

12.50%

发文量

审稿时长

3 months

期刊介绍： The International Journal of Foundations of Computer Science is a bimonthly journal that publishes articles which contribute new theoretical results in all areas of the foundations of computer science. The theoretical and mathematical aspects covered include: - Algebraic theory of computing and formal systems - Algorithm and system implementation issues - Approximation, probabilistic, and randomized algorithms - Automata and formal languages - Automated deduction - Combinatorics and graph theory - Complexity theory - Computational biology and bioinformatics - Cryptography - Database theory - Data structures - Design and analysis of algorithms - DNA computing - Foundations of computer security - Foundations of high-performance computing