{"title":"Extremal function of two independent chorded cycles in a bipartite graph","authors":"Panpan Cheng, Yunshu Gao","doi":"10.1016/j.amc.2024.129253","DOIUrl":null,"url":null,"abstract":"<div><div>Let <em>G</em> be a bipartite graph. In this paper, by constructing two extremal graphs, we completely determine the minimum number of edges of <em>G</em> that guaranteeing the existence of two independent chorded cycles. As a byproduct, our result also implies that <em>G</em> contains two independent cycles of different lengths.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"493 ","pages":"Article 129253"},"PeriodicalIF":3.5000,"publicationDate":"2024-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Applied Mathematics and Computation","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324007148","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
Abstract
Let G be a bipartite graph. In this paper, by constructing two extremal graphs, we completely determine the minimum number of edges of G that guaranteeing the existence of two independent chorded cycles. As a byproduct, our result also implies that G contains two independent cycles of different lengths.
期刊介绍：
Applied Mathematics and Computation addresses work at the interface between applied mathematics, numerical computation, and applications of systems – oriented ideas to the physical, biological, social, and behavioral sciences, and emphasizes papers of a computational nature focusing on new algorithms, their analysis and numerical results.
In addition to presenting research papers, Applied Mathematics and Computation publishes review articles and single–topics issues.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
