Almost partitioning any 3-edge-coloured Kn,n into 5 monochromatic cycles
نویسندگان
چکیده
We show that for any colouring of the edges of the complete bipartite graphKn,n with 3 colours there are 5 disjoint monochromatic cycles which together cover all but o(n) of the vertices and 18 disjoint monochromatic cycles which together cover all vertices. keywords: monochromatic cycle partition, Ramsey-type problem, complete bipartite graph MSC 2010: 05C69, 05C75, 05C38.
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