English

On $r$-colorability of random hypergraphs

Combinatorics 2017-12-01 v1 Discrete Mathematics

Abstract

The work deals with the threshold probablity for r-colorability in the binomial model H(n,k,p) of a random k-uniform hypergraph. We prove a lower bound for this threshold which improves the previously known results in the wide range of the parameters r=r(n) and k=k(n).

Keywords

Cite

@article{arxiv.1110.1249,
  title  = {On $r$-colorability of random hypergraphs},
  author = {Andrei Kupavskii and Dmitry Shabanov},
  journal= {arXiv preprint arXiv:1110.1249},
  year   = {2017}
}

Comments

32 pages

R2 v1 2026-06-21T19:16:04.372Z