{"title":"两种韧性的界限和星形因子的结合数","authors":"Yujia Gao, Zhen Ji, Xiaojie Sun, Qinghe Tong","doi":"10.1142/s0219265923500329","DOIUrl":null,"url":null,"abstract":"For a set [Formula: see text] of connected graphs, a spanning subgraph [Formula: see text] of a graph [Formula: see text] is an [Formula: see text]-factor if every component of [Formula: see text] is isomorphic to some member of [Formula: see text]. In this paper, we give a criterion for the existence of tight toughness, isolated toughness and binding number bounds in a graph of a strong [Formula: see text]-star factor, [Formula: see text]-factor and [Formula: see text]-star factor. Moreover, we show that the bounds of the sufficient conditions are sharp.","PeriodicalId":53990,"journal":{"name":"JOURNAL OF INTERCONNECTION NETWORKS","volume":"64 3","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bounds of Two Toughnesses and Binding Numbers for Star Factors\",\"authors\":\"Yujia Gao, Zhen Ji, Xiaojie Sun, Qinghe Tong\",\"doi\":\"10.1142/s0219265923500329\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For a set [Formula: see text] of connected graphs, a spanning subgraph [Formula: see text] of a graph [Formula: see text] is an [Formula: see text]-factor if every component of [Formula: see text] is isomorphic to some member of [Formula: see text]. In this paper, we give a criterion for the existence of tight toughness, isolated toughness and binding number bounds in a graph of a strong [Formula: see text]-star factor, [Formula: see text]-factor and [Formula: see text]-star factor. Moreover, we show that the bounds of the sufficient conditions are sharp.\",\"PeriodicalId\":53990,\"journal\":{\"name\":\"JOURNAL OF INTERCONNECTION NETWORKS\",\"volume\":\"64 3\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-01-10\",\"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/s0219265923500329\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"COMPUTER SCIENCE, THEORY & METHODS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"JOURNAL OF INTERCONNECTION NETWORKS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1142/s0219265923500329","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
Bounds of Two Toughnesses and Binding Numbers for Star Factors
For a set [Formula: see text] of connected graphs, a spanning subgraph [Formula: see text] of a graph [Formula: see text] is an [Formula: see text]-factor if every component of [Formula: see text] is isomorphic to some member of [Formula: see text]. In this paper, we give a criterion for the existence of tight toughness, isolated toughness and binding number bounds in a graph of a strong [Formula: see text]-star factor, [Formula: see text]-factor and [Formula: see text]-star factor. Moreover, we show that the bounds of the sufficient conditions are sharp.
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.