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Rainbowness of cubic plane graphs
Authors:Stanislav Jendrol’
Institution:Institute of Mathematics, P.J. Šafárik University, Jesenná 5, SK-041 54 Košice, Slovak Republic
Abstract:The rainbowness, rb(G), of a connected plane graph G is the minimum number k such that any colouring of vertices of the graph G using at least k colours involves a face all vertices of which receive distinct colours. For a connected cubic plane graph G we prove that
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Keywords:05C15  52B10
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