{"title":"在数图中存在有两个块的路径","authors":"Amine El Sahili, Maidoun Mortada, Sara Nasser","doi":"10.1007/s00373-024-02759-8","DOIUrl":null,"url":null,"abstract":"<p>We give a new elementary proof of El Sahili conjecture El Sahili (Discrete Math 287:151–153, 2004) stating that any <i>n</i>-chromatic digraph <i>D</i>, with <span>\\(n\\ge 4\\)</span>, contains a path with two blocks of order <i>n</i>.</p>","PeriodicalId":12811,"journal":{"name":"Graphs and Combinatorics","volume":"34 1","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Existence of a Path with Two Blocks in Digraphs\",\"authors\":\"Amine El Sahili, Maidoun Mortada, Sara Nasser\",\"doi\":\"10.1007/s00373-024-02759-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We give a new elementary proof of El Sahili conjecture El Sahili (Discrete Math 287:151–153, 2004) stating that any <i>n</i>-chromatic digraph <i>D</i>, with <span>\\\\(n\\\\ge 4\\\\)</span>, contains a path with two blocks of order <i>n</i>.</p>\",\"PeriodicalId\":12811,\"journal\":{\"name\":\"Graphs and Combinatorics\",\"volume\":\"34 1\",\"pages\":\"\"},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Graphs and Combinatorics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00373-024-02759-8\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Graphs and Combinatorics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00373-024-02759-8","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
摘要
我们给出了 El Sahili 猜想的一个新的基本证明 El Sahili(《离散数学》287:151-153,2004 年)指出,任何 n 个色度数图 D,在 \(n\ge 4\) 的情况下,都包含一条有两个 n 阶块的路径。
The Existence of a Path with Two Blocks in Digraphs
We give a new elementary proof of El Sahili conjecture El Sahili (Discrete Math 287:151–153, 2004) stating that any n-chromatic digraph D, with \(n\ge 4\), contains a path with two blocks of order n.
期刊介绍:
Graphs and Combinatorics is an international journal devoted to research concerning all aspects of combinatorial mathematics. In addition to original research papers, the journal also features survey articles from authors invited by the editorial board.