Generalized X-join of graphs and their automorphisms

IF 0.6 3区数学 Q3 MATHEMATICS

Ars Mathematica Contemporanea Pub Date : 2023-09-27 DOI:10.26493/1855-3974.2619.06c

Javad Bagherian, Hanieh Memarzadeh

引用次数: 0

Abstract

In this paper, we first introduce a new product of finite graphs as a generalization of the X-join of graphs. We then give the necessary and sufficient conditions under which a graph has the generalized X-join structure. As a main result, we compute the full automorphism groups of the family of graphs that have the generalized X-join structure.

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图的广义x联接及其自同构

本文首先引入了有限图的一种新的乘积，作为图的x连接的推广。然后给出图具有广义x连接结构的充分必要条件。作为主要结果，我们计算了具有广义x连接结构的图族的完全自同构群。

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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来源期刊

Ars Mathematica Contemporanea MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

1.70

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Ars mathematica contemporanea will publish high-quality articles in contemporary mathematics that arise from the discrete and concrete mathematics paradigm. It will favor themes that combine at least two different fields of mathematics. In particular, we welcome papers intersecting discrete mathematics with other branches of mathematics, such as algebra, geometry, topology, theoretical computer science, and combinatorics. The name of the journal was chosen carefully. Symmetry is certainly a theme that is quite welcome to the journal, as it is through symmetry that mathematics comes closest to art.