循环的笛卡尔积的平方的支配数

离散数学期刊(英文) Pub Date : 2015-08-12 DOI:10.4236/OJDM.2015.54008

M. Alishahi, Sakineh Hoseini Shalmaee

{"title":"循环的笛卡尔积的平方的支配数","authors":"M. Alishahi, Sakineh Hoseini Shalmaee","doi":"10.4236/OJDM.2015.54008","DOIUrl":null,"url":null,"abstract":"A set is a dominating set of G if every vertex of is adjacent to at least one vertex of S. The cardinality of the smallest \ndominating set of G is called the \ndomination number of G. The square G2 of a graph G is obtained from G by adding new edges between every two vertices having distance 2 \nin G. In this paper we study the \ndomination number of square of graphs, find a bound for domination number of \nsquare of Cartesian product of cycles, and find the exact value for some of \nthem.","PeriodicalId":61712,"journal":{"name":"离散数学期刊(英文)","volume":"05 1","pages":"88-94"},"PeriodicalIF":0.0000,"publicationDate":"2015-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Domination Number of Square of Cartesian Products of Cycles\",\"authors\":\"M. Alishahi, Sakineh Hoseini Shalmaee\",\"doi\":\"10.4236/OJDM.2015.54008\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A set is a dominating set of G if every vertex of is adjacent to at least one vertex of S. The cardinality of the smallest \\ndominating set of G is called the \\ndomination number of G. The square G2 of a graph G is obtained from G by adding new edges between every two vertices having distance 2 \\nin G. In this paper we study the \\ndomination number of square of graphs, find a bound for domination number of \\nsquare of Cartesian product of cycles, and find the exact value for some of \\nthem.\",\"PeriodicalId\":61712,\"journal\":{\"name\":\"离散数学期刊(英文)\",\"volume\":\"05 1\",\"pages\":\"88-94\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2015-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"离散数学期刊(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/OJDM.2015.54008\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"离散数学期刊(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/OJDM.2015.54008","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

一组是一组主导的G如果每个顶点相邻的至少一个顶点的s G的最小支配集的基数是叫统治的G .广场G2的图G是获得G通过添加新的边缘每两个顶点之间有距离2 G在本文中,我们研究了统治的平方数图,找到一个开往统治广场的笛卡儿积的循环次数,并找到其中一些的精确值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Domination Number of Square of Cartesian Products of Cycles

A set is a dominating set of G if every vertex of is adjacent to at least one vertex of S. The cardinality of the smallest dominating set of G is called the domination number of G. The square G2 of a graph G is obtained from G by adding new edges between every two vertices having distance 2 in G. In this paper we study the domination number of square of graphs, find a bound for domination number of square of Cartesian product of cycles, and find the exact value for some of them.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

离散数学期刊(英文)

自引率

0.00%

发文量

127

期刊最新文献

Genome Sequencing Using Graph Theory Approach A Relationship between the Partial Bell Polynomials and Alternating Run Polynomials A Novel Design Method for Protein-Like Molecules from the Perspective of Sheaf Theory Solving the k-Independent Sets Problem of Graphs by Gröbner Bases Rupture Degree of Some Cartesian Product Graphs