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arXiv · 1510.00060

Almost partitioning a 3-edge-coloured $K_{n,n}$ into 5 monochromatic cycles

Richard Lang·Oliver Schaudt·Maya Stein
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Abstract

We show that for any colouring of the edges of the complete bipartite graph $K_{n,n}$ with 3 colours there are 5 disjoint monochromatic cycles which together cover all but $o(n)$ of the vertices. In the same situation, 18 disjoint monochromatic cycles together cover all vertices.

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Richard Lang, Oliver Schaudt, Maya Stein. 2016-11-16. Almost partitioning a 3-edge-coloured $K_{n,n}$ into 5 monochromatic cycles. https://arxiv.org/abs/1510.00060

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