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Small clique and large chromatic number

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Publication:2851500
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DOI10.1016/j.endm.2009.07.073zbMath1273.05166OpenAlexW2004280815MaRDI QIDQ2851500

O. I. Rubanov, Andrei M. Raigorodskii

Publication date: 10 October 2013

Published in: Electronic Notes in Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.endm.2009.07.073


zbMATH Keywords

Ramsey theorychromatic numbersclique numbersdistance graphs


Mathematics Subject Classification ID

Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (4)

Lower bounds for the chromatic numbers of distance graphs with large girth ⋮ On the chromatic numbers of rational spaces ⋮ Chromatic numbers of distance graphs with several forbidden distances and without cliques of a given size ⋮ The chromatic number of space with forbidden regular simplex



Cites Work

  • A 15-colouring of 3-space omitting distance one
  • On the space chromatic number
  • Research Problems in Discrete Geometry
  • Graph Theory and Probability
  • The realization of distances within sets in Euclidean space
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