Forcing structures and cliques in uniquely vertex colorable graphs (Q2753535)

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scientific article; zbMATH DE number 1670340
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English
Forcing structures and cliques in uniquely vertex colorable graphs
scientific article; zbMATH DE number 1670340

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    11 November 2001
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    uniquely vertex colorable graphs
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    clique number
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    Forcing structures and cliques in uniquely vertex colorable graphs (English)
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    The paper deals with uniquely colorable graphs. First, a construction of uniquely \(k\)-colorable graphs with clique number \(k-t\) is presented for every \(t\) and for every sufficiently large \(k\). Second, bounds on the minimum number of edges and vertices in a uniquely \(k\)-colorable graph with clique number \(k-t\) are provided.
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