The transformation graph G(xyz) when xyz=-++
文献类型：期刊论文
| 作者 | Wu, B; Zhang, L; Zhang, Z |
| 刊名 | DISCRETE MATHEMATICS
 |
| 出版日期 | 2005-07-06 |
| 卷号 | 296期号:2-3页码:263-270 |
| 关键词 | transformation total graph isomorphism |
| ISSN号 | 0012-365X |
| DOI | 10.1016/j.disc.2005.04.002 |
| 英文摘要 | The transformation graph G(-++) of G is the graph with vertex set V(G) U E(G) in which the vertex x and y are joined by an edge if one of the following conditions holds: (i) x, y is an element of V (G), and x and y are not adjacent in G, (ii) x, y is an element of E(G), and x and y are adjacent in G, (iii) one of x and y is in V(G) and the other is in E(G), and they are incident in G. In this paper, it is shown that for two graphs G and G', G(-++) congruent to G'(-++) if and only if G congruent to G'. Simple necessary and sufficient conditions are given for G(-++) to be planar and hamiltonian, respectively. It is also shown that for a graph G, the edge-connectivity of G(-++) is equal to its minimum degree. Two related conjectures and some research problems are presented. (c) 2005 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000231030700011 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1687]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wu, B |
| 作者单位 | 1.Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China 2.Chinese Acad Sci, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, B,Zhang, L,Zhang, Z. The transformation graph G(xyz) when xyz=-++[J]. DISCRETE MATHEMATICS,2005,296(2-3):263-270. |
| APA | Wu, B,Zhang, L,&Zhang, Z.(2005).The transformation graph G(xyz) when xyz=-++.DISCRETE MATHEMATICS,296(2-3),263-270. |
| MLA | Wu, B,et al."The transformation graph G(xyz) when xyz=-++".DISCRETE MATHEMATICS 296.2-3(2005):263-270. |
入库方式： OAI收割
来源：数学与系统科学研究院
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