Shannon Capacity and Lovász Theta

Bernd Gärtner () and Jiří Matoušek ()
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Bernd Gärtner: ETH Zurich, Institute of Theoretical Computer Science
Jiří Matoušek: Charles University, Department of Applied Mathematics

Chapter Chapter 3 in Approximation Algorithms and Semidefinite Programming, 2012, pp 27-43 from Springer

Abstract: Abstract Here we will discuss a remarkable geometrically defined graph parameter ϑ(G). This parameter can be regarded as a semidefinite relaxation of the inde- pendence number a(G) of the graph, and also in a dual view, as a semidefinite relaxation of χ(G), the chromatic number of G’s complement.

Keywords: Theta Function; Chromatic Number; Similarity Graph; Perfect Graph; Independence Number (search for similar items in EconPapers)
Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-22015-9_3

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DOI: 10.1007/978-3-642-22015-9_3

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