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....

पूर्ण विवरण

ग्रंथसूची विवरण
मुख्य लेखकों: Groot Koerkamp, R, Živný, S
स्वरूप: Journal article
भाषा:English
प्रकाशित: Elsevier 2021