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Upper bounds on the theta function of random graphs

cs.DS · 2025-06-03 · conditional · novelty 7.0

The paper conjectures that the Lovász theta function of G(n,1/2) is below 1.55√n, via new graph parameters built from the eigen-decomposition of the adjacency matrix, but leaves the bound as an unproven conjecture.

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  • Upper bounds on the theta function of random graphs cs.DS · 2025-06-03 · conditional · none · ref 6

    The paper conjectures that the Lovász theta function of G(n,1/2) is below 1.55√n, via new graph parameters built from the eigen-decomposition of the adjacency matrix, but leaves the bound as an unproven conjecture.