{"title":"Sufficient Conditions of (Isolated) Toughness and Binding Number for the Existence of Component Factors","authors":"Zhiqiang Ma, Fengyun Ren, Meiqin Wei, Gemaji Bao","doi":"10.1142/s0219265923500135","DOIUrl":null,"url":null,"abstract":"For a family of connected graphs [Formula: see text], a spanning subgraph [Formula: see text] of [Formula: see text] is called an [Formula: see text]-factor if each component of [Formula: see text] is isomorphic to a member of [Formula: see text]. In this paper, sufficient conditions with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the [Formula: see text]-factor, [Formula: see text]-factor or [Formula: see text]-factor for [Formula: see text] are obtained.","PeriodicalId":53990,"journal":{"name":"JOURNAL OF INTERCONNECTION NETWORKS","volume":"1 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-07-27","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/s0219265923500135","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
For a family of connected graphs [Formula: see text], a spanning subgraph [Formula: see text] of [Formula: see text] is called an [Formula: see text]-factor if each component of [Formula: see text] is isomorphic to a member of [Formula: see text]. In this paper, sufficient conditions with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the [Formula: see text]-factor, [Formula: see text]-factor or [Formula: see text]-factor for [Formula: see text] are obtained.
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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