D. Mojdeh, A. Sayed-Khalkhali, H. A. Ahangar, Yancai Zhao
{"title":"Total $k$-distance domination critical graphs","authors":"D. Mojdeh, A. Sayed-Khalkhali, H. A. Ahangar, Yancai Zhao","doi":"10.22108/TOC.2016.11972","DOIUrl":null,"url":null,"abstract":"A set $S$ of vertices in a graph $G=(V,E)$ is called a total $k$-distance dominating set if every vertex in $V$ is within distance $k$ of a vertex in $S$. A graph $G$ is total $k$-distance domination-critical if $gamma_{t}^{k} (G - x) < gamma_{t}^{k} (G)$ for any vertex $xin V(G)$. In this paper, we investigate some results on total $k$-distance domination-critical of graphs.","PeriodicalId":43837,"journal":{"name":"Transactions on Combinatorics","volume":"5 1","pages":"1-9"},"PeriodicalIF":0.6000,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions on Combinatorics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.22108/TOC.2016.11972","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 5
Abstract
A set $S$ of vertices in a graph $G=(V,E)$ is called a total $k$-distance dominating set if every vertex in $V$ is within distance $k$ of a vertex in $S$. A graph $G$ is total $k$-distance domination-critical if $gamma_{t}^{k} (G - x) < gamma_{t}^{k} (G)$ for any vertex $xin V(G)$. In this paper, we investigate some results on total $k$-distance domination-critical of graphs.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
