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Two-colorings with many monochromatic cliques in both colors

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Publication:463286
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DOI10.1016/j.jctb.2013.04.002zbMath1301.05123OpenAlexW2045627469MaRDI QIDQ463286

Mitsuo Kato, Peter Frankl, Norihide Tokushige

Publication date: 16 October 2014

Published in: Journal of Combinatorial Theory. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jctb.2013.04.002


zbMATH Keywords

edge coloringRamsey theoryYoung diagramunimodal sequence


Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Generalized Ramsey theory (05C55) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (2)

Disjoint pairs in set systems with restricted intersection ⋮ On the densities of cliques and independent sets in graphs



Cites Work

  • Unnamed Item
  • 2-colorings of complete graphs with a small number of monochromatic \(K_ 4\) subgraphs
  • On Erdős's conjecture on multiplicities of complete subgraphs: Lower upper bound for cliques of size 6
  • On Sets of Acquaintances and Strangers at any Party
  • A Disproof of a Conjecture of Erdős in Ramsey Theory
  • A Simple Proof of the Gale-Ryser Theorem




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