Upper minus domination in regular graphs
文献类型：期刊论文
| 作者 | Kang, L; Cai, M |
| 刊名 | DISCRETE MATHEMATICS
 |
| 出版日期 | 2000-05-28 |
| 卷号 | 219期号:1-3页码:135-144 |
| 关键词 | r-regular graph minus domination signed domination |
| ISSN号 | 0012-365X |
| 英文摘要 | A three-valued function f defined on the vertices of a graph G = (V, E), f : V --> {-1,0,1}, is a minus dominating function if the sum of its function values over any closed neighborhood is at least one. That is, for every v E V, f(N[v])greater than or equal to 1, where N[v] consists of v and every vertex adjacent to v. The weight of a minus dominating function is f(V)= Sigma(v is an element of V) f(v). The upper minus domination number of a graph G, denoted Gamma(-)(G), equals the maximum weight of a minimal minus dominating function of G. In this paper, sharp upper bounds on Gamma(-) of regular graphs are found. Thus, we answer an open problem proposed by Henning and Slater (Discrete Math. 158 (1996) 87-98). (C) 2000 Published by Elsevier Science B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000087401000012 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/15249]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Kang, L |
| 作者单位 | 1.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China 2.Shijiazhuang Railway Inst, Dept Basic Course, Shijiazhuang 050043, Peoples R China |
| 推荐引用方式 GB/T 7714 | Kang, L,Cai, M. Upper minus domination in regular graphs[J]. DISCRETE MATHEMATICS,2000,219(1-3):135-144. |
| APA | Kang, L,&Cai, M.(2000).Upper minus domination in regular graphs.DISCRETE MATHEMATICS,219(1-3),135-144. |
| MLA | Kang, L,et al."Upper minus domination in regular graphs".DISCRETE MATHEMATICS 219.1-3(2000):135-144. |
入库方式： OAI收割
来源：数学与系统科学研究院
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