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Clique graphs of packed graphs. (English) Zbl 0603.05043
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 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.
Reviewer: C.R.J.Clapham

MSC:
05C99 Graph theory
05C35 Extremal problems in graph theory
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References:
[1] Behzad, M; Chatrand, G; Lesniak-Foster, L, Graphs and digraphs, (1979), Prindle, Weber and Schmidt Boston
[2] Escalante, F; Toft, B, On clique-critical graphs, J. combin. theory ser. B, 17, 170-182, (1974) · Zbl 0288.05126
[3] Hedman, B, The maximum number of cliques in dense graphs, Discrete math., 54, 161-166, (1985) · Zbl 0569.05029
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