{"title":"A note on (t - 1)-chromatic Ramsey number of linear forests","authors":"A. Khamseh","doi":"10.1080/23799927.2020.1761886","DOIUrl":null,"url":null,"abstract":"Given t distinct colors, we order the t subsets of t−1 colors in some arbitrary manner. Let be graphs. The -chromatic Ramsey number, denoted by , is defined to be the least number n such that if the edges of the complete graph are colored in any fashion with t colors, then for some i the subgraph whose edges are colored with the ith subset of colors contains a . In this paper, we study the -chromatic Ramsey number of linear forests.","PeriodicalId":37216,"journal":{"name":"International Journal of Computer Mathematics: Computer Systems Theory","volume":"24 1","pages":"92 - 97"},"PeriodicalIF":0.9000,"publicationDate":"2020-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Computer Mathematics: Computer Systems Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/23799927.2020.1761886","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}
引用次数: 2
Abstract
Given t distinct colors, we order the t subsets of t−1 colors in some arbitrary manner. Let be graphs. The -chromatic Ramsey number, denoted by , is defined to be the least number n such that if the edges of the complete graph are colored in any fashion with t colors, then for some i the subgraph whose edges are colored with the ith subset of colors contains a . In this paper, we study the -chromatic Ramsey number of linear forests.
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