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Clique graphs of packed graphs - MaRDI portal

Clique graphs of packed graphs (Q1082356)

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scientific article; zbMATH DE number 3972907
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Clique graphs of packed graphs
scientific article; zbMATH DE number 3972907

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    Clique graphs of packed graphs (English)
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    1986
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    Let \(| G|\) be the number of vertices of a graph G and \(\omega\) (G) the number of vertices in the largest clique of G. The clique graph K(G) is the intersection graph of the cliques of G. For all G, \(| K(G)| \leq 2^{| G| -\omega (G)}\) [see \textit{B. Hedman}, Discrete Math. 54, 161-166 (1986; Zbl 0569.05029)] and G is called packed if this is an equality. This paper corrects the characterization of the clique graphs of packed graphs given by Hedman.
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    density
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    Neumann graph
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    clique graphs
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    packed graphs
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