On rainbow-free colourings of uniform hypergraphs

We study rainbow-free colourings of k-uniform hypergraphs; that is, colourings that use k colours but with the property that no hyperedge attains all colours. We show that p⁎ = (k−1)(ln⁡n)/n is the threshold function for the existence of a rainbow-free colouring in a random k-uniform hypergraph....

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид: Groot Koerkamp, R, Živný, S
Формат: Journal article
Хэл сонгох:English
Хэвлэсэн: Elsevier 2021