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New lower bounds for the independence numbers of distance graphs with vertices in \(\{-1,0,1\}^{n}\)

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Publication:650424
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DOI10.1134/S0001434611010366zbMath1238.05200MaRDI QIDQ650424

V. F. Moskva, Andrei M. Raigorodskii

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)


zbMATH Keywords

independence numberdistance graphBorsuk problemNelson-Erdős-Hadwiger problem


Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Distance in graphs (05C12) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)


Related Items (3)

On the measurable chromatic number of a space of dimension \(n \leq 24\) ⋮ Erdős-Ko-Rado theorem for \(\{0,\pm 1\}\)-vectors ⋮ New upper bounds for the independence numbers of graphs with vertices in \(\{-1,0,1\}^n\) and their applications to problems of the chromatic numbers of distance graphs



Cites Work

  • Excursions into combinatorial geometry
  • On Ramsey Type Problems in Combinatorial Geometry


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