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- W4226007258 abstract "We study the Sherali-Adams linear programming hierarchy in the context of promise constraint satisfaction problems (PCSPs). We characterise when a level of the hierarchy accepts an instance in terms of a homomorphism problem for an appropriate multilinear structure obtained through a tensor power of the constraint language. The geometry of this structure, which consists in a space of tensors satisfying certain symmetries, allows then to establish non-solvability of the approximate graph colouring problem via constantly many levels of Sherali-Adams. Besides this primary application, our tensorisation construction introduces a new tool to the study of hierarchies of algorithmic relaxations for computational problems within (and, possibly, beyond) the context of constraint satisfaction. In particular, we see it as a key step towards the algebraic characterisation of the power of Sherali-Adams for PCSPs." @default.
- W4226007258 created "2022-05-05" @default.
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- W4226007258 date "2022-03-04" @default.
- W4226007258 modified "2023-10-16" @default.
- W4226007258 title "The Sherali-Adams Hierarchy for Promise CSPs through Tensors" @default.
- W4226007258 doi "https://doi.org/10.48550/arxiv.2203.02478" @default.
- W4226007258 hasPublicationYear "2022" @default.
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