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Fractional domination in prisms

Matthew Walsh — 2007

Discussiones Mathematicae Graph Theory

Mynhardt has conjectured that if G is a graph such that γ(G) = γ(πG) for all generalized prisms πG then G is edgeless. The fractional analogue of this conjecture is established and proved by showing that, if G is a graph with edges, then γ f ( G × K ) > γ f ( G ) .

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