{"title":"Generalized X-join of graphs and their automorphisms","authors":"Javad Bagherian, Hanieh Memarzadeh","doi":"10.26493/1855-3974.2619.06c","DOIUrl":null,"url":null,"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.","PeriodicalId":49239,"journal":{"name":"Ars Mathematica Contemporanea","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2023-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Ars Mathematica Contemporanea","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.26493/1855-3974.2619.06c","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.
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