{"title":"Note on the anti-Ramsey number for matching in hypercubes","authors":"Rui Li , Yuede Ma , Zhongmei Qin , Yingping Zhao","doi":"10.1016/j.amc.2024.129154","DOIUrl":null,"url":null,"abstract":"<div><div>Let <em>Q</em> be a host graph and <span><math><mi>L</mi><mo>⊆</mo><mi>Q</mi></math></span> be a subgraph. The <em>anti-Ramsey number</em> <span><math><mi>a</mi><mi>r</mi><mo>(</mo><mi>Q</mi><mo>,</mo><mi>L</mi><mo>)</mo></math></span> of <em>L</em> in <em>Q</em>, is defined as the largest number <em>t</em> that allows the existence of a <em>t</em>-edge-colored <em>Q</em> which contains no rainbow <em>L</em>. In this paper, the anti-Ramsey number for matchings when the host graph is hypercube is considered and some exact results are provided.</div></div>","PeriodicalId":3,"journal":{"name":"ACS Applied Electronic Materials","volume":null,"pages":null},"PeriodicalIF":4.3000,"publicationDate":"2024-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Electronic Materials","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0096300324006155","RegionNum":3,"RegionCategory":"材料科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
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Abstract
Let Q be a host graph and be a subgraph. The anti-Ramsey number of L in Q, is defined as the largest number t that allows the existence of a t-edge-colored Q which contains no rainbow L. In this paper, the anti-Ramsey number for matchings when the host graph is hypercube is considered and some exact results are provided.
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