Randomly colouring simple hypergraphs
نویسندگان
چکیده
We study the problem of constructing a (near) random proper q-colouring of a simple k-uniform hypergraph with n vertices and maximum degree ∆. (Proper in that no edge is mono-coloured and simple in that two edges have maximum intersection of size one). We give conditions on q,∆ so that if these conditions are satisfied, Glauber dynamics will converge in O(n log n) time from a random (improper) start. The interesting thing here is that for k ≥ 3 we can take q = o(∆).
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عنوان ژورنال:
- CoRR
دوره abs/0901.3699 شماره
صفحات -
تاریخ انتشار 2009