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Polychromatic Cliques and Related Questions (2003)

by Tom Bohman ,  Alan Frieze ,  Ryan Martin ,  Miklos Ruszinko ,  Clifford Smyth
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Abstract:

Let the edges of a graph G be coloured so that no colour is used more than k times. We refer to this as a k-bounded colouring. We say that a subset of the edges of G is polychromatic if each edge is of a different colour. In this paper we address the problem of finding the minimum number m such that every k-bounded colouring of Km contains a polychromatic copy of K n . We then generalise this to some related problems.

Citations

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