一般Knödel图的直径

IF 0.4 4区计算机科学 Q4 COMPUTER SCIENCE, SOFTWARE ENGINEERING

Fundamenta Informaticae Pub Date : 2023-10-27 DOI:10.3233/fi-222165

Seyed Reza Musawi, Esameil Nazari Kiashi

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引用次数: 0

摘要

Knödel图WΔ，n是一个有n≥2Δ个顶点的Δ-regular二部图，其中n是一个偶数。本文得到了Knödel图中两个顶点之间距离的一些结果，并由此证明了diam(WΔ，n)=1+ (n−22Δ−2)，其中Δ≥2且n≥(2Δ - 5)(2Δ - 2) + 4。

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Diameter of General Knödel Graphs

The Knödel graph WΔ,n is a Δ-regular bipartite graph on n ≥ 2Δ vertices where n is an even integer. In this paper We obtain some results about the distances of two vertices in the Knödel graphs and by them, we prove that diam(WΔ,n)=1+⌈n−22Δ−2⌉, where Δ ≥ 2 and n ≥ (2Δ – 5)(2Δ – 2) + 4.

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来源期刊

Fundamenta Informaticae 工程技术-计算机：软件工程

CiteScore

2.00

自引率

0.00%

发文量

审稿时长

9.8 months

期刊介绍： Fundamenta Informaticae is an international journal publishing original research results in all areas of theoretical computer science. Papers are encouraged contributing: solutions by mathematical methods of problems emerging in computer science solutions of mathematical problems inspired by computer science. Topics of interest include (but are not restricted to): theory of computing, complexity theory, algorithms and data structures, computational aspects of combinatorics and graph theory, programming language theory, theoretical aspects of programming languages, computer-aided verification, computer science logic, database theory, logic programming, automated deduction, formal languages and automata theory, concurrency and distributed computing, cryptography and security, theoretical issues in artificial intelligence, machine learning, pattern recognition, algorithmic game theory, bioinformatics and computational biology, quantum computing, probabilistic methods, algebraic and categorical methods.