{"title":"关于n-星图的拓扑性质","authors":"N. Karamzadeh, M. Darafsheh","doi":"10.22052/IJMC.2020.174205.1429","DOIUrl":null,"url":null,"abstract":"The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈ {1, 2, ..., n}, ui ne uj and i ne j, where edges are of the form (u1,u2,...,un) ∼ (ui,u2,...,un), for some i ne 1. In this paper we will show that Sn is a vertex and edge transitive graph and discuss some topological properties of Sn.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":"99 1","pages":"11-16"},"PeriodicalIF":1.0000,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Topological Properties of the n-Star Graph\",\"authors\":\"N. Karamzadeh, M. Darafsheh\",\"doi\":\"10.22052/IJMC.2020.174205.1429\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈ {1, 2, ..., n}, ui ne uj and i ne j, where edges are of the form (u1,u2,...,un) ∼ (ui,u2,...,un), for some i ne 1. In this paper we will show that Sn is a vertex and edge transitive graph and discuss some topological properties of Sn.\",\"PeriodicalId\":14545,\"journal\":{\"name\":\"Iranian journal of mathematical chemistry\",\"volume\":\"99 1\",\"pages\":\"11-16\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-03-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian journal of mathematical chemistry\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.22052/IJMC.2020.174205.1429\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian journal of mathematical chemistry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22052/IJMC.2020.174205.1429","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
摘要
n星图Sn定义在所有n个序列(u1,u2,…,un)的集合上,ui∈{1,2,…, n}, UI ne uj和I ne j,其中边的形式为(u1,u2,…,un) ~ (UI,u2,…,un),对于某些I ne 1。本文证明了Sn是一个点边传递图,并讨论了Sn的一些拓扑性质。
The n-star graph Sn is defined on the set of all n sequenses (u1,u2,...,un), ui ∈ {1, 2, ..., n}, ui ne uj and i ne j, where edges are of the form (u1,u2,...,un) ∼ (ui,u2,...,un), for some i ne 1. In this paper we will show that Sn is a vertex and edge transitive graph and discuss some topological properties of Sn.