多群上广义Cayley图的图积

Q4 Mathematics

Algebraic Structures and their Applications Pub Date : 2019-03-01 DOI:10.29252/AS.2019.1340

D. Heidari

{"title":"多群上广义Cayley图的图积","authors":"D. Heidari","doi":"10.29252/AS.2019.1340","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.","PeriodicalId":36596,"journal":{"name":"Algebraic Structures and their Applications","volume":"19 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Graph product of generalized Cayley graphs over polygroups\",\"authors\":\"D. Heidari\",\"doi\":\"10.29252/AS.2019.1340\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.\",\"PeriodicalId\":36596,\"journal\":{\"name\":\"Algebraic Structures and their Applications\",\"volume\":\"19 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Algebraic Structures and their Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.29252/AS.2019.1340\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Algebraic Structures and their Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.29252/AS.2019.1340","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

本文给出了定义在多群上的Cayley图(gcp -图)的一种合适的推广，并给出了一些例子和性质。然后，我们提到了NEPS的泛化，它包含一些已知的图操作，并应用于gcp图。最后，我们证明了gcp图的乘积仍然是一个gcp图。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Graph product of generalized Cayley graphs over polygroups

In this paper, we introduce a suitable generalization of Cayley graphs that is defined over polygroups (GCP-graph) and give some examples and properties. Then, we mention a generalization of NEPS that contains some known graph operations and apply to GCP-graphs. Finally, we prove that the product of GCP-graphs is again a GCP-graph.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Algebraic Structures and their Applications Mathematics-Algebra and Number Theory

CiteScore

0.60

自引率

0.00%

发文量