Dominating Cartesian products of cycles
✍ Scribed by Sandi Klavžar; Norbert Seifter
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 578 KB
- Volume
- 59
- Category
- Article
- ISSN
- 0166-218X
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📜 SIMILAR VOLUMES
For a graph G, let D(G) be the family of strong orientations of G. Define d ៝ (G) Å min {d(D)ÉD √ D(G)} and r(G) Å d ៝ (G) 0 d(G), where d(D) [respectively, d(G)] denotes the diameter of the digraph D (respectively, graph G). Let G 1 H denote the Cartesian product of the graphs G and H, and C p , th
We show the link between the existence of perfect Lee codes and minimum dominating sets of Cartesian products of paths and cycles. From the existence of such a code we deduce the asymptotical values of the domination numbers of these graphs.
For a graph G , let D ( G ) be the family of strong orientations of G , and define d ៝ ( G ) Å min{d(D)ÉD √ D(G)}, where d(D) is the diameter of the digraph D. In this paper, we evaluate the values of d ៝ (C 2n 1