Super link-connectivity of iterated line digraphs
β Scribed by Xiaoyan Cheng; Xiufeng Du; Manki Min; Hung Q. Ngo; Lu Ruan; Jianhua Sun; Weili Wu
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 207 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
β¦ Synopsis
Many interconnection networks can be constructed with line digraph iterations. A digraph has super link-connectivity d if it has link-connectivity d and every link-cut of cardinality d consists of either all out-links coming from a node, or all in-links ending at a node, excluding loop. In this paper, we show that the link-digraph iteration preserves super link-connectivity.
π SIMILAR VOLUMES
Because of their good properties, iterated line digraphs (specially Kautz and de Bruijn digraphs) have been considered to design interconnection networks. The diameter-vulnerability of a digraph is the maximum diameter of the subdigraphs obtained by deleting a fixed number of vertices or arcs. For a
Given a simple undirected graph G, a spanning subgraph S is a t-spanner of G if every pair of vertices that are adjacent in G are at distance at most I in S. The factor t is called the dilution of the spanner. If S has the smallest possible number of edges among all t-spanners of G, then S is a mini