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{"title":"定向射线的普遍性","authors":"Florian Gut, Thilo Krill, Florian Reich","doi":"10.1002/jgt.23114","DOIUrl":null,"url":null,"abstract":"<p>A digraph <span></span><math>\n <semantics>\n <mrow>\n <mi>H</mi>\n </mrow>\n <annotation> $H$</annotation>\n </semantics></math> is called <i>ubiquitous</i> if every digraph <span></span><math>\n <semantics>\n <mrow>\n <mi>D</mi>\n </mrow>\n <annotation> $D$</annotation>\n </semantics></math> that contains <span></span><math>\n <semantics>\n <mrow>\n <mi>k</mi>\n </mrow>\n <annotation> $k$</annotation>\n </semantics></math> vertex-disjoint copies of <span></span><math>\n <semantics>\n <mrow>\n <mi>H</mi>\n </mrow>\n <annotation> $H$</annotation>\n </semantics></math> for every <span></span><math>\n <semantics>\n <mrow>\n <mi>k</mi>\n <mo>∈</mo>\n <mi>N</mi>\n </mrow>\n <annotation> $k\\in {\\mathbb{N}}$</annotation>\n </semantics></math> also contains infinitely many vertex-disjoint copies of <span></span><math>\n <semantics>\n <mrow>\n <mi>H</mi>\n </mrow>\n <annotation> $H$</annotation>\n </semantics></math>. We characterise which digraphs with rays as underlying undirected graphs are ubiquitous.</p>","PeriodicalId":16014,"journal":{"name":"Journal of Graph Theory","volume":"107 1","pages":"200-211"},"PeriodicalIF":0.9000,"publicationDate":"2024-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/jgt.23114","citationCount":"0","resultStr":"{\"title\":\"Ubiquity of oriented rays\",\"authors\":\"Florian Gut, Thilo Krill, Florian Reich\",\"doi\":\"10.1002/jgt.23114\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>A digraph <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <annotation> $H$</annotation>\\n </semantics></math> is called <i>ubiquitous</i> if every digraph <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>D</mi>\\n </mrow>\\n <annotation> $D$</annotation>\\n </semantics></math> that contains <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>k</mi>\\n </mrow>\\n <annotation> $k$</annotation>\\n </semantics></math> vertex-disjoint copies of <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <annotation> $H$</annotation>\\n </semantics></math> for every <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>k</mi>\\n <mo>∈</mo>\\n <mi>N</mi>\\n </mrow>\\n <annotation> $k\\\\in {\\\\mathbb{N}}$</annotation>\\n </semantics></math> also contains infinitely many vertex-disjoint copies of <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>H</mi>\\n </mrow>\\n <annotation> $H$</annotation>\\n </semantics></math>. We characterise which digraphs with rays as underlying undirected graphs are ubiquitous.</p>\",\"PeriodicalId\":16014,\"journal\":{\"name\":\"Journal of Graph Theory\",\"volume\":\"107 1\",\"pages\":\"200-211\"},\"PeriodicalIF\":0.9000,\"publicationDate\":\"2024-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://onlinelibrary.wiley.com/doi/epdf/10.1002/jgt.23114\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Graph Theory\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1002/jgt.23114\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Graph Theory","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1002/jgt.23114","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
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