{"title":"关于Young-Fibonacci图的结构性质和一些拓扑指标","authors":"Iqra Zaman, FM Bhatti","doi":"10.52280/pujm.2022.5412035","DOIUrl":null,"url":null,"abstract":"In this paper, we study Young Fibonacci graphs Gn, a special family of graphs\nthat are constructed with the help of integer partitions. Young diagrams are also used in\nthe construction of graphs. The family of graphs is rich in structure. Thus, we investigate\nvarious properties of the family of graphs which include degree based structure and\ntopological in-dices. Topological indices like Zagreb Index, Wiener Index, Randic Index\nand Connective Eccentricity Index of these graphs are computed. We also study the\neigenvalues and energy of the graph.","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"77 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the Structural Properties and Some Topological Indices of Young-Fibonacci Graphs\",\"authors\":\"Iqra Zaman, FM Bhatti\",\"doi\":\"10.52280/pujm.2022.5412035\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study Young Fibonacci graphs Gn, a special family of graphs\\nthat are constructed with the help of integer partitions. Young diagrams are also used in\\nthe construction of graphs. The family of graphs is rich in structure. Thus, we investigate\\nvarious properties of the family of graphs which include degree based structure and\\ntopological in-dices. Topological indices like Zagreb Index, Wiener Index, Randic Index\\nand Connective Eccentricity Index of these graphs are computed. We also study the\\neigenvalues and energy of the graph.\",\"PeriodicalId\":205373,\"journal\":{\"name\":\"Punjab University Journal of Mathematics\",\"volume\":\"77 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-28\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Punjab University Journal of Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52280/pujm.2022.5412035\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2022.5412035","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
On the Structural Properties and Some Topological Indices of Young-Fibonacci Graphs
In this paper, we study Young Fibonacci graphs Gn, a special family of graphs
that are constructed with the help of integer partitions. Young diagrams are also used in
the construction of graphs. The family of graphs is rich in structure. Thus, we investigate
various properties of the family of graphs which include degree based structure and
topological in-dices. Topological indices like Zagreb Index, Wiener Index, Randic Index
and Connective Eccentricity Index of these graphs are computed. We also study the
eigenvalues and energy of the graph.