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Abstract or Description

We consider the problem of k-colouring a random r-uniform hypergraph with n vertices and cn edges, where k, r, c remain constant as n→∞. Achlioptas and Naor showed that the chromatic number of a random graph in this setting, the case r=2, must have one of two easily computable values as n→∞. We give a complete generalisation of this result to random uniform hypergraphs.



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Published In

Journal of Combinatorial Theory, Series B, 113, 68-122.