Approximate Graph Colouring and the Crystal with a Hollow Shadow

Lorenzo Ciardo; Stanislav Živný

doi:10.1137/24m1691594

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arXiv · 2211.03168

Approximate Graph Colouring and the Crystal with a Hollow Shadow

Lorenzo Ciardo·Stanislav Živný

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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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Lorenzo Ciardo, Stanislav Živný. 2022-11-06. Approximate Graph Colouring and the Crystal with a Hollow Shadow. https://doi.org/10.1137/24m1691594

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