{"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":53990,"journal":{"name":"JOURNAL OF INTERCONNECTION NETWORKS","volume":null,"pages":null},"PeriodicalIF":0.5000,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERCONNECTION NETWORKS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219265923500378","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","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].
期刊介绍：
The Journal of Interconnection Networks (JOIN) is an international scientific journal dedicated to advancing the state-of-the-art of interconnection networks. The journal addresses all aspects of interconnection networks including their theory, analysis, design, implementation and application, and corresponding issues of communication, computing and function arising from (or applied to) a variety of multifaceted networks. Interconnection problems occur at different levels in the hardware and software design of communicating entities in integrated circuits, multiprocessors, multicomputers, and communication networks as diverse as telephone systems, cable network systems, computer networks, mobile communication networks, satellite network systems, the Internet and biological systems.
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