For a graph G, a subset of vertices D is a dominating set if for each vertex x not in D, x is adjacent to at least one vertex of D. The domination number, y(G), is the order of the smallest such set. An outstanding conjecture in the theory of domination is for any two graph G and H,
On the domination number of cross products of graphs
โ Scribed by Sylvain Gravier; Abdelkader Khelladi
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 195 KB
- Volume
- 145
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
โฆ Synopsis
In this communication the domination number of the cross product of an elementary path with the complement of another path is exactly determined and some inequalities for general cases are deduced. The paper ends with a Vizing-like conjecture relating the domination number of the cross product of G and G' with the product of the corresponding ones.
๐ SIMILAR VOLUMES
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