{"title":"与Paley图有关的若干拓扑指标","authors":"R. Modabernia","doi":"10.22052/IJMC.2019.160538.1414","DOIUrl":null,"url":null,"abstract":"Let GF(q) denote the finite field with q elements. The Paley graph Paley(q) is defined to be a graph with vertex set GF(q) such that two vertices a and b are joined with an edge if a-b is a non-zero square. If we assume q≡1(mod4) , then this graph is undirected. In this paper, our aim is to compute the topological indices of Paley(q) such as the Wiener, PI and Szeged indices of this graph.","PeriodicalId":14545,"journal":{"name":"Iranian journal of mathematical chemistry","volume":null,"pages":null},"PeriodicalIF":1.0000,"publicationDate":"2020-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some Topological Indices Related to Paley Graphs\",\"authors\":\"R. Modabernia\",\"doi\":\"10.22052/IJMC.2019.160538.1414\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Let GF(q) denote the finite field with q elements. The Paley graph Paley(q) is defined to be a graph with vertex set GF(q) such that two vertices a and b are joined with an edge if a-b is a non-zero square. If we assume q≡1(mod4) , then this graph is undirected. In this paper, our aim is to compute the topological indices of Paley(q) such as the Wiener, PI and Szeged indices of this graph.\",\"PeriodicalId\":14545,\"journal\":{\"name\":\"Iranian journal of mathematical chemistry\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-07-01\",\"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.2019.160538.1414\",\"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.2019.160538.1414","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Let GF(q) denote the finite field with q elements. The Paley graph Paley(q) is defined to be a graph with vertex set GF(q) such that two vertices a and b are joined with an edge if a-b is a non-zero square. If we assume q≡1(mod4) , then this graph is undirected. In this paper, our aim is to compute the topological indices of Paley(q) such as the Wiener, PI and Szeged indices of this graph.