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On the independence number of distance graphs with vertices in \(\{-1,0,1\}^n\)

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Publication:845206
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DOI10.1134/S0001434609110169zbMath1210.05095MaRDI QIDQ845206

Alexander E. Guterman, V. K. Lyubimov, S. A. Usachev, Andrei M. Raigorodskii

Publication date: 5 February 2010

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


zbMATH Keywords

incidence matrixindependence numberdistance graphvertex degree


Mathematics Subject Classification ID

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


Related Items

On the measurable chromatic number of a space of dimension \(n \leq 24\), Turán-type results for distance graphs in an infinitesimal plane layer, On the chromatic number of \(\mathbb{R}^{9}\), A remark on lower bounds for the chromatic numbers of spaces of small dimension with metrics \(\ell_1\) and \(\ell_2\), 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



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