{"title":"3-Path Decompositions of the Line Graph of the Complete Bipartite Graph","authors":"Limin Gao, Weihua Yang","doi":"10.1142/s0219265923500378","DOIUrl":null,"url":null,"abstract":"The line graph is a very popular research object in graph theory, in complex networks and also in social networks recently. Let [Formula: see text] be the line graph of the complete bipartite graph [Formula: see text] and [Formula: see text] be a path of length [Formula: see text]. In this paper, we give necessary and sufficient conditions for the existence of [Formula: see text]-decompositions of [Formula: see text].","PeriodicalId":0,"journal":{"name":"","volume":"5 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219265923500378","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
The line graph is a very popular research object in graph theory, in complex networks and also in social networks recently. Let [Formula: see text] be the line graph of the complete bipartite graph [Formula: see text] and [Formula: see text] be a path of length [Formula: see text]. In this paper, we give necessary and sufficient conditions for the existence of [Formula: see text]-decompositions of [Formula: see text].
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