Coloured and directed designs
Combinatorics
2020-04-22 v2
Abstract
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.
Cite
@article{arxiv.1807.05770,
title = {Coloured and directed designs},
author = {Peter Keevash},
journal= {arXiv preprint arXiv:1807.05770},
year = {2020}
}
Comments
30 pages, 2 figures, for the 70th birthday of Laszlo Lovasz