A systematic review of hyper-heuristics on combinatorial optimization problems

M Sánchez, JM Cruz-Duarte… - IEEE …, 2020 - ieeexplore.ieee.org
Hyper-heuristics aim at interchanging different solvers while solving a problem. The idea is
to determine the best approach for solving a problem at its current state. This way, every time …

A proof of the CSP dichotomy conjecture

D Zhuk - Journal of the ACM (JACM), 2020 - dl.acm.org
Many natural combinatorial problems can be expressed as constraint satisfaction problems.
This class of problems is known to be NP-complete in general, but certain restrictions on the …

Local consistency as a reduction between constraint satisfaction problems

V Dalmau, J Opršal - Proceedings of the 39th Annual ACM/IEEE …, 2024 - dl.acm.org
We study the use of local consistency methods as reductions between constraint satisfaction
problems (CSPs), and promise version thereof, with the aim to classify these reductions in a …

CLAP: A new algorithm for promise CSPs

L Ciardo, S Živný - SIAM Journal on Computing, 2023 - SIAM
We propose a new algorithm for Promise Constraint Satisfaction Problems (PCSPs). It is a
combination of the Constraint Basic LP relaxation and the Affine IP relaxation (CLAP). We …

Promise constraint satisfaction and width

A Atserias, V Dalmau - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
We study the power of the bounded-width consistency algorithm in the context of the fixed-
template Promise Constraint Satisfaction Problem (PCSP). Our main technical finding is that …

Topology and adjunction in promise constraint satisfaction

A Krokhin, J Opršal, M Wrochna, S Živný - SIAM Journal on Computing, 2023 - SIAM
The approximate graph coloring problem, whose complexity is unresolved in most cases,
concerns finding a-coloring of a graph that is promised to be-colorable, where. This problem …

Combinatorial gap theorem and reductions between promise CSPs

L Barto, M Kozik - Proceedings of the 2022 Annual ACM-SIAM …, 2022 - SIAM
A value of a CSP instance is typically defined as a fraction of constraints that can be
simultaneously met. We propose an alternative definition of a value of an instance and show …

The power of the combined basic linear programming and affine relaxation for promise constraint satisfaction problems

J Brakensiek, V Guruswami, M Wrochna… - SIAM Journal on …, 2020 - SIAM
In the field of constraint satisfaction problems (CSPs), promise CSPs are an exciting new
direction of study. In a promise CSP, each constraint comes in two forms:“strict” and “weak,” …

An invitation to the promise constraint satisfaction problem

A Krokhin, J Opršal - ACM SIGLOG News, 2022 - dl.acm.org
The study of the complexity of the constraint satisfaction problem (CSP), centred around the
Feder-Vardi Dichotomy Conjecture, has been very prominent in the last two decades. After a …

Promise constraint satisfaction: Algebraic structure and a symmetric Boolean dichotomy

J Brakensiek, V Guruswami - SIAM Journal on Computing, 2021 - SIAM
A classic result due to Schaefer Proceedings of STOC 78, ACM, 1978, pp. 216--226
classifies all constraint satisfaction problems (CSPs) over the Boolean domain as being …