The Complexity of Promise Constraint Satisfaction Problem Seen from the Other Side

Kristina Asimi; Libor Barto; Victor Dalmau

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arXiv · 2402.06821

The Complexity of Promise Constraint Satisfaction Problem Seen from the Other Side

Kristina Asimi·Libor Barto·Victor Dalmau

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Abstract

We introduce the framework of the left-hand side restricted promise constraint satisfaction problem, which includes problems like approximating clique number of a graph. We study the parameterized complexity of problems in this class and provide some initial results. The main technical contribution is a sufficient condition for W[1]-hardness which, in particular, covers left-hand side restricted bounded arity CSPs.

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Kristina Asimi, Libor Barto, Victor Dalmau. 2024-02-09. The Complexity of Promise Constraint Satisfaction Problem Seen from the Other Side. https://arxiv.org/abs/2402.06821

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