{"title":"Universal graphs with forbidden wheel minors","authors":"Thilo Krill","doi":"10.1002/jgt.23174","DOIUrl":null,"url":null,"abstract":"<p>Let <span></span><math>\n \n <mrow>\n <mi>W</mi>\n </mrow></math> be any wheel graph and <span></span><math>\n \n <mrow>\n <mi>G</mi>\n </mrow></math> the class of all countable graphs not containing <span></span><math>\n \n <mrow>\n <mi>W</mi>\n </mrow></math> as a minor. We show that there exists a graph in <span></span><math>\n \n <mrow>\n <mi>G</mi>\n </mrow></math> which contains every graph in <span></span><math>\n \n <mrow>\n <mi>G</mi>\n </mrow></math> as an induced subgraph.</p>","PeriodicalId":16014,"journal":{"name":"Journal of Graph Theory","volume":"108 1","pages":"100-112"},"PeriodicalIF":0.9000,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/jgt.23174","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Graph Theory","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/jgt.23174","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Let be any wheel graph and the class of all countable graphs not containing as a minor. We show that there exists a graph in which contains every graph in as an induced subgraph.
期刊介绍：
The Journal of Graph Theory is devoted to a variety of topics in graph theory, such as structural results about graphs, graph algorithms with theoretical emphasis, and discrete optimization on graphs. The scope of the journal also includes related areas in combinatorics and the interaction of graph theory with other mathematical sciences.
A subscription to the Journal of Graph Theory includes a subscription to the Journal of Combinatorial Designs .
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