The Lovász number of random graphs

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Abstract

We study the Lovász number θ along with two further SDP relaxations θ1/2, θ2 of the independence number and the corresponding relaxations θ̄, θ̄1/2, θ̄2 of the chromatic number on random graphs Gn,p. We prove that θ̄, θ̄1/2, θ̄2(Gn,p) in the case p

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Coja-Oghlan, A. (2003). The Lovász number of random graphs. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2764, 228–239. https://doi.org/10.1007/978-3-540-45198-3_20

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