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COMBINATORICS
2000

Inequality Related to Vizing's Conjecture

13 years 11 months ago
Inequality Related to Vizing's Conjecture
Let (G) denote the domination number of a graph G and let G H denote the Cartesian product of graphs G and H. We prove that (G)(H) 2(G H) for all simple graphs G and H. 2000 Mathematics Subject Classifications: Primary 05C69, Secondary 05C35 We use V (G), E(G), (G), respectively, to denote the vertex set, edge set and domination number of the (simple) graph G. For a pair of graphs G and H, the Cartesian product G H of G and H is the graph with vertex set V (G)
W. Edwin Clark, Stephen Suen
Added 17 Dec 2010
Updated 17 Dec 2010
Type Journal
Year 2000
Where COMBINATORICS
Authors W. Edwin Clark, Stephen Suen
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