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Coloured and directed designs

We give some illustrative applications of our recent result on decompositions of labelled complexes, including some new results on decompositions of hypergraphs with coloured or directed edges. For example, we give fairly general conditions for decomposing an edge-coloured graph into rainbow triangles, and for decomposing an r-digraph into tight q-cycles.

preprint2020arXivOpen access
Peter Keevash
math.CO
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Peter Keevash

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