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
Spanners of underlying graphs of iterated line digraphs
✍ Scribed by Rabah Harbane; Carles Padró
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 770 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0020-0190
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✦ Synopsis
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 minimum t-spanner of G. In this paper, we study spanners with small dilation of graphs which are underlying graphs of iterated line digraphs. @
📜 SIMILAR VOLUMES
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