M. Kovse, Valisoa Razanajatovo Misanantenaina, S. Wagner
{"title":"Steiner Wiener指数与树的线图","authors":"M. Kovse, Valisoa Razanajatovo Misanantenaina, S. Wagner","doi":"10.47443/dml.2021.s214","DOIUrl":null,"url":null,"abstract":"A classical theorem due to Buckley [ Congr. Numer. 32 (1981) 153–162] relates the Wiener index of a tree with the Wiener index of its line graph by a simple identity. We generalise this identity to the Steiner Wiener index and also use related ideas to resolve a problem due to Kovˇse, Rasila and Vijayakumar [ AKCE Int. J. Graphs Comb. 17 (2020) 833–840] on the minimum value of the Steiner Wiener index of line graphs of trees.","PeriodicalId":36023,"journal":{"name":"Discrete Mathematics Letters","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Steiner Wiener Index and Line Graphs of Trees\",\"authors\":\"M. Kovse, Valisoa Razanajatovo Misanantenaina, S. Wagner\",\"doi\":\"10.47443/dml.2021.s214\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A classical theorem due to Buckley [ Congr. Numer. 32 (1981) 153–162] relates the Wiener index of a tree with the Wiener index of its line graph by a simple identity. We generalise this identity to the Steiner Wiener index and also use related ideas to resolve a problem due to Kovˇse, Rasila and Vijayakumar [ AKCE Int. J. Graphs Comb. 17 (2020) 833–840] on the minimum value of the Steiner Wiener index of line graphs of trees.\",\"PeriodicalId\":36023,\"journal\":{\"name\":\"Discrete Mathematics Letters\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Discrete Mathematics Letters\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.47443/dml.2021.s214\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Discrete Mathematics Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.47443/dml.2021.s214","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
A classical theorem due to Buckley [ Congr. Numer. 32 (1981) 153–162] relates the Wiener index of a tree with the Wiener index of its line graph by a simple identity. We generalise this identity to the Steiner Wiener index and also use related ideas to resolve a problem due to Kovˇse, Rasila and Vijayakumar [ AKCE Int. J. Graphs Comb. 17 (2020) 833–840] on the minimum value of the Steiner Wiener index of line graphs of trees.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
