Displaying similar documents to “On the toughness of cycle permutation graphs”

Domination in functigraphs

Linda Eroh, Ralucca Gera, Cong X. Kang, Craig E. Larson, Eunjeong Yi (2012)

Discussiones Mathematicae Graph Theory

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Let G₁ and G₂ be disjoint copies of a graph G, and let f:V(G₁) → V(G₂) be a function. Then a functigraph C(G,f) = (V,E) has the vertex set V = V(G₁) ∪ V(G₂) and the edge set E = E(G₁) ∪ E(G₂) ∪ {uv | u ∈ V(G₁), v ∈ V(G₂),v = f(u)}. A functigraph is a generalization of a permutation graph (also known as a generalized prism) in the sense of Chartrand and Harary. In this paper, we study domination in functigraphs. Let γ(G) denote the domination number of G. It is readily seen that γ(G)...