超立方体匹配的反拉姆齐数说明

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED Applied Mathematics and Computation Pub Date : 2025-03-15 Epub Date: 2024-10-28 DOI:10.1016/j.amc.2024.129154

Rui Li , Yuede Ma , Zhongmei Qin , Yingping Zhao

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引用次数: 0

摘要

设 Q 是主图，L⊆Q 是子图。Q 中 L 的反拉姆齐数 ar(Q,L)定义为允许不包含彩虹 L 的 t 边着色 Q 存在的最大数 t。本文考虑了主图为超立方体时匹配的反拉姆齐数，并提供了一些精确结果。

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Note on the anti-Ramsey number for matching in hypercubes

Let Q be a host graph and

L \subseteq Q

be a subgraph. The anti-Ramsey number

a r (Q, L)

of L in Q, is defined as the largest number t that allows the existence of a t-edge-colored Q which contains no rainbow L. In this paper, the anti-Ramsey number for matchings when the host graph is hypercube is considered and some exact results are provided.

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来源期刊

Applied Mathematics and Computation 数学-应用数学

CiteScore

7.90

自引率

10.00%

发文量

755

审稿时长

36 days

期刊介绍： Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results. In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.