Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4656779 | Journal of Combinatorial Theory, Series B | 2015 | 55 Pages |
Abstract
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→∞n→∞. Achlioptas and Naor showed that the chromatic number of a random graph in this setting, the case r=2r=2, must have one of two easily computable values as n→∞n→∞. We give a complete generalisation of this result to random uniform hypergraphs.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Martin Dyer, Alan Frieze, Catherine Greenhill,