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Approximate Graph Colouring and the Crystal with a Hollow Shadow

Published 6 Nov 2022 in cs.CC, cs.DM, math.CO, and math.OC | (2211.03168v4)

Abstract: We show that approximate graph colouring is not solved by the lift-and-project hierarchy for the combination of linear programming and linear Diophantine equations. The proof is based on combinatorial tensor theory.

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