Browsing Documents OpenAIRE (Open Access Infrastructure for Research in Europe) by Author "Krokhin, Andrei"

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Majority constraints have bounded pathwidth duality

Dalmau, Víctor; Krokhin, Andrei (Elsevier, 2008)

We study certain constraint satisfaction problems which are the problems of deciding whether there exists a homomorphism from a given relational structure to a fixed structure with a majority polymorphism. We show that ...
Retractions onto series-parallel posets

Dalmau, Víctor; Krokhin, Andrei; Larose, Benoit (Elsevier, 2008)

The poset retraction problem for a poset P is whether a given poset Q containing P as a subposet admits a retraction onto P, that is, whether there is a homomorphism from Q onto P which fixes every element of P. We study ...
Robust algorithms with polynomial loss for near-unanimity CSPs

Dalmau, Víctor; Kozik, Marcin; Krokhin, Andrei; Makarychev, Konstantin; Makarychev, Yury; Opršal, Jakub (SIAM (Society for Industrial and Applied Mathematics), 2019)

An instance of the constraint satisfaction problem (CSP) is given by a family of constraints on overlapping sets of variables, and the goal is to assign values from a fixed domain to the variables so that all constraints ...

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