On the number of cycles in generalized Kautz digraphs
โ Scribed by Toru Hasunuma; Yosuke Kikuchi; Takeshi Mori; Yukio Shibata
- Book ID
- 108113421
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 281 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0012-365X
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๐ SIMILAR VOLUMES
This work deals with the domination numbers of generalized de Bruijn digraphs and generalized Kautz digraphs. Dominating sets for digraphs are not familiar compared with dominating sets for undirected graphs. Whereas dominating sets for digraphs have more applications than those for undirected graph
We show that in the Kautz digraph K(d, t) with d' + d'-1 vertices each having out degree d, there exist d vertex-disjoint paths between any pair of distinct vertices, one of length at most t, d -2 of length at most t + 1, and one of length at most t + 2.