Lian Chen, Huiqin Jiang, Z. Shao, Marija Ivanović, Serbia Belgrade
{"title":"Dominator and total dominator colorings in vague graphs","authors":"Lian Chen, Huiqin Jiang, Z. Shao, Marija Ivanović, Serbia Belgrade","doi":"10.30538/psrp-easl2019.0017","DOIUrl":null,"url":null,"abstract":"The concept of vague graph was introduced early by Ramakrishna and substantial graph parameters on vague graphs were proposed such graph coloring, connectivity, dominating set, independent set, total dominating number and independent dominating number. In this paper, we introduce the concept of the dominator coloring and total dominator coloring of a vague graph and establish mathematical modelling for these problems.","PeriodicalId":11518,"journal":{"name":"Engineering and Applied Science Letters","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Engineering and Applied Science Letters","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.30538/psrp-easl2019.0017","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 12
Abstract
The concept of vague graph was introduced early by Ramakrishna and substantial graph parameters on vague graphs were proposed such graph coloring, connectivity, dominating set, independent set, total dominating number and independent dominating number. In this paper, we introduce the concept of the dominator coloring and total dominator coloring of a vague graph and establish mathematical modelling for these problems.