M. M. Al-Shamiri, S. Nada, A. Elrokh, Yasser Elmshtaye
{"title":"Some Results on Cordial Digraphs","authors":"M. M. Al-Shamiri, S. Nada, A. Elrokh, Yasser Elmshtaye","doi":"10.4236/ojdm.2020.101002","DOIUrl":null,"url":null,"abstract":"A digraph is a graph in which each edge has an orientation. A linear directed path, , is a path whose all edges have the same orientation. A linear simple graph is called directed cordial if it admits 0 - 1 labeling that satisfies certain condition. In this paper, we study the cordiality of directed paths and their second power . Similar studies are done for and the join . We show that , and are directed cordial. Sufficient conditions are given to the join to be directed cordial.","PeriodicalId":61712,"journal":{"name":"离散数学期刊(英文)","volume":"10 1","pages":"4-12"},"PeriodicalIF":0.0000,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"离散数学期刊(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/ojdm.2020.101002","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 6
Abstract
A digraph is a graph in which each edge has an orientation. A linear directed path, , is a path whose all edges have the same orientation. A linear simple graph is called directed cordial if it admits 0 - 1 labeling that satisfies certain condition. In this paper, we study the cordiality of directed paths and their second power . Similar studies are done for and the join . We show that , and are directed cordial. Sufficient conditions are given to the join to be directed cordial.
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