The forwarding indices of augmented cubes
文献类型：期刊论文
| 作者 | Xu, Min; Xu, Jun-Ming |
| 刊名 | INFORMATION PROCESSING LETTERS
 |
| 出版日期 | 2007-03-16 |
| 卷号 | 101期号:5页码:185-189 |
| 关键词 | combinatorial problems augmented cubes routings forwarding index |
| ISSN号 | 0020-0190 |
| DOI | 10.1016/j.ipl.2006.09.013 |
| 英文摘要 | For a given connected graph G of order n, a routing R in G is a set of n (n - 1) elementary paths specified for every ordered pair of vertices in G. The vertex (resp. edge) forwarding index of G is the maximum number of paths in R passing through any vertex (resp. edge) in G. Choudum and Sunitha [S.A. Choudum, V Sunitha, Augmented cubes, Networks 40 (2002) 71-84] proposed a variant of the hypercube Q(n), called the augmented cube AQ(n) and presented a minimal routing algorithm. This paper determines the vertex and the edge forwarding indices of AQ(n) as 2(n)/9 + (-1)(n+1)/9 + n2(n)/3 - 2(n) + 1 and 2(n-1), respectively, which shows that the above algorithm is optimal in view of maximizing the network capacity. (c) 2006 Elsevier B.V. All rights reserved. |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000244216900002 |
| 出版者 | ELSEVIER SCIENCE BV |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4088]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Xu, Jun-Ming |
| 作者单位 | 1.Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Min,Xu, Jun-Ming. The forwarding indices of augmented cubes[J]. INFORMATION PROCESSING LETTERS,2007,101(5):185-189. |
| APA | Xu, Min,&Xu, Jun-Ming.(2007).The forwarding indices of augmented cubes.INFORMATION PROCESSING LETTERS,101(5),185-189. |
| MLA | Xu, Min,et al."The forwarding indices of augmented cubes".INFORMATION PROCESSING LETTERS 101.5(2007):185-189. |
入库方式： OAI收割
来源：数学与系统科学研究院
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