Characterization of a signed graph whose signed line graph is -consistent.
Acharya, B.Devadas, Acharya, Mukti, Sinha, Deepa (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Acharya, B.Devadas, Acharya, Mukti, Sinha, Deepa (2009)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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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)...
Exoo, Geoffrey (2004)
The Electronic Journal of Combinatorics [electronic only]
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Z. Filáková, Peter Mihók, Gabriel Semanišin (1997)
Mathematica Slovaca
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Hossein Karami, Rana Khoeilar, Seyed Mahmoud Sheikholeslami (2013)
Kragujevac Journal of Mathematics
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Chong-Yun Chao, Shaocen Han (1997)
Czechoslovak Mathematical Journal
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We use an algebraic method to classify the generalized permutation star-graphs, and we use the classification to determine the toughness of all generalized permutation star-graphs.