{"title":"Some Existence Theorems on Star Factors","authors":"Xiumin Wang, Fengyun Ren, Dong He, Ao Tan","doi":"10.1142/s0219265923500275","DOIUrl":null,"url":null,"abstract":"The [Formula: see text]-factor and [Formula: see text]-factor of a graph are a spanning subgraph whose each component is an element of [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] is a special family of trees. In this paper, we obtain a sufficient condition in terms of tight toughness, isolated toughness and binding number bounds to guarantee the existence of a [Formula: see text]-factor and [Formula: see text]-factor for any graph.","PeriodicalId":53990,"journal":{"name":"JOURNAL OF INTERCONNECTION NETWORKS","volume":"55 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-11-29","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/s0219265923500275","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 [Formula: see text]-factor and [Formula: see text]-factor of a graph are a spanning subgraph whose each component is an element of [Formula: see text] and [Formula: see text], respectively, where [Formula: see text] is a special family of trees. In this paper, we obtain a sufficient condition in terms of tight toughness, isolated toughness and binding number bounds to guarantee the existence of a [Formula: see text]-factor and [Formula: see text]-factor for any graph.
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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