{"title":"New Results in Bi- Domination in Graphs","authors":"M. Al-harere, Athraa T. Breesam","doi":"10.31972/ticma22.10","DOIUrl":null,"url":null,"abstract":"In this paper, some new results are introduced for the bi-domination in graphs. Some properties of bi-domination number and bounds according to maximum, minimum degrees, order, and size have been determined. The effects of removing a vertex and removing or adding an edge are discussed on the bi-domination number of a graph. This study is important to know affected graphs by the deletion or addition of components.","PeriodicalId":269628,"journal":{"name":"Proceeding of 3rd International Conference of Mathematics and its Applications","volume":"24 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceeding of 3rd International Conference of Mathematics and its Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.31972/ticma22.10","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper, some new results are introduced for the bi-domination in graphs. Some properties of bi-domination number and bounds according to maximum, minimum degrees, order, and size have been determined. The effects of removing a vertex and removing or adding an edge are discussed on the bi-domination number of a graph. This study is important to know affected graphs by the deletion or addition of components.
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