English

Obligatory hypergraphs

Combinatorics 2024-03-19 v1 Logic

Abstract

Erd\H{o}s and Hajnal proved that every graph of uncountable chromatic number contains arbitrarily large finite, complete, bipartite graphs. We extend this result to hypergraphs.

Keywords

Cite

@article{arxiv.2403.11223,
  title  = {Obligatory hypergraphs},
  author = {Christian Reiher},
  journal= {arXiv preprint arXiv:2403.11223},
  year   = {2024}
}

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2 figures