Robustly Solvable Constraint Satisfaction Problems

Libor Barto; Marcin Kozik

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arXiv · 1512.01157

Robustly Solvable Constraint Satisfaction Problems

Libor Barto·Marcin Kozik

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Abstract

An algorithm for a constraint satisfaction problem is called robust if it outputs an assignment satisfying at least $(1-g(\varepsilon))$-fraction of the constraints given a $(1-\varepsilon)$-satisfiable instance, where $g(\varepsilon) \rightarrow 0$ as $\varepsilon \rightarrow 0$. Guruswami and Zhou conjectured a characterization of constraint languages for which the corresponding constraint satisfaction problem admits an efficient robust algorithm. This paper confirms their conjecture.

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Libor Barto, Marcin Kozik. 2015-12-03. Robustly Solvable Constraint Satisfaction Problems. https://arxiv.org/abs/1512.01157

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