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 …
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 …
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
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 …
problems (CSPs), and promise version thereof, with the aim to classify these reductions in a …
CLAP: A new algorithm for promise CSPs
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 …
combination of the Constraint Basic LP relaxation and the Affine IP relaxation (CLAP). We …
Promise constraint satisfaction and width
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 …
template Promise Constraint Satisfaction Problem (PCSP). Our main technical finding is that …
Topology and adjunction in promise constraint satisfaction
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 …
concerns finding a-coloring of a graph that is promised to be-colorable, where. This problem …
Combinatorial gap theorem and reductions between promise CSPs
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 …
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
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,” …
direction of study. In a promise CSP, each constraint comes in two forms:“strict” and “weak,” …
An invitation to the promise constraint satisfaction problem
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 …
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
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 …
classifies all constraint satisfaction problems (CSPs) over the Boolean domain as being …