The -tuple twin domination in generalized de Bruijn and Kautz networks
โ Scribed by Erfang Shan; Yanxia Dong
- Book ID
- 113512197
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 259 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0898-1221
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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 the de Bruijn digraph B(d,D), D > 1 and the Kautz digraph K(d,D) can be embedded in (d + 1) pages with cumulative pagewidth ~dDe2(3d3 -2d2 + 4d -d(d mod 2) ~ 4) and idD-'(3d' + 4d + (d mod2)), respectively. Also we show that the shuffle-exchange graph S(D; D > 2 can be embedded in 3 pag