{"title":"Tight toughness, isolated toughness and binding number bounds for the path-cycle factors","authors":"Weizhen Chen, Suonan Renqian, Qingcuo Ren, Xin Li","doi":"10.1080/23799927.2023.2278109","DOIUrl":null,"url":null,"abstract":"In this paper, a sufficient condition with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the $ \\{K_{2}, C_{n}:n\\geq 3\\} $ {K2,Cn:n≥3}-factor and $ \\{P_{2}, P_{3}\\} $ {P2,P3}-factor for any graph is obtained.","PeriodicalId":37216,"journal":{"name":"International Journal of Computer Mathematics: Computer Systems Theory","volume":"1 1","pages":"235 - 241"},"PeriodicalIF":0.9000,"publicationDate":"2023-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computer Mathematics: Computer Systems Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23799927.2023.2278109","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
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Abstract
In this paper, a sufficient condition with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the $ \{K_{2}, C_{n}:n\geq 3\} $ {K2,Cn:n≥3}-factor and $ \{P_{2}, P_{3}\} $ {P2,P3}-factor for any graph is obtained.
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