半二面体群上的距离正则Cayley图

IF 1 3区数学 Q3 MATHEMATICS, APPLIED

Discrete Applied Mathematics Pub Date : 2025-04-10 DOI:10.1016/j.dam.2025.04.006

Xueyi Huang , Lu Lu , Xiongfeng Zhan

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引用次数: 0

摘要

距离正则图是一类重要的正则图，具有显著的组合对称性。2007年，miklavinik和poto nik发起了距离正则Cayley图的系统研究，扩展了表征强正则Cayley图的经典问题（相当于研究正则偏差分集）。本文给出了半二面体群和伪半二面体群上的距离正则Cayley图的部分刻划，这两类群都是包含一个指标2的循环子群的2群。

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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Distance-regular Cayley graphs over (pseudo-) semi-dihedral groups

Distance-regular graphs constitute an important class of regular graphs exhibiting remarkable combinatorial symmetry. In 2007, Miklavič and Potočnik initiated the systematic study of distance-regular Cayley graphs, extending the classical problem of characterizing strongly regular Cayley graphs (equivalent to investigating regular partial difference sets). In this paper, we provide a partial characterization of distance-regular Cayley graphs over semi-dihedral groups and pseudo-semi-dihedral groups, both of which are 2-groups that contain a cyclic subgroup of index 2.

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来源期刊

Discrete Applied Mathematics 数学-应用数学

CiteScore

2.30

自引率

9.10%

发文量

422

审稿时长

4.5 months

期刊介绍： The aim of Discrete Applied Mathematics is to bring together research papers in different areas of algorithmic and applicable discrete mathematics as well as applications of combinatorial mathematics to informatics and various areas of science and technology. Contributions presented to the journal can be research papers, short notes, surveys, and possibly research problems. The "Communications" section will be devoted to the fastest possible publication of recent research results that are checked and recommended for publication by a member of the Editorial Board. The journal will also publish a limited number of book announcements as well as proceedings of conferences. These proceedings will be fully refereed and adhere to the normal standards of the journal. Potential authors are advised to view the journal and the open calls-for-papers of special issues before submitting their manuscripts. Only high-quality, original work that is within the scope of the journal or the targeted special issue will be considered.