A dichotomy theorem for nonuniform CSPs

AA Bulatov - 2017 IEEE 58th Annual Symposium on …, 2017 - ieeexplore.ieee.org
In a non-uniform Constraint Satisfaction problem CSP (Γ), where Γ is a set of relations on a
unite set A, the goal is to und an assignment of values to variables subject to constraints …

Tractable conservative constraint satisfaction problems

AA Bulatov - 18th Annual IEEE Symposium of Logic in …, 2003 - ieeexplore.ieee.org
In a constraint satisfaction problem (CSP), the aim is to find an assignment of values to a
given set of variables, subject to specified constraints. The CSP is known to be NP-complete …

Complexity of conservative constraint satisfaction problems

AA Bulatov - ACM Transactions on Computational Logic (TOCL), 2011 - dl.acm.org
In a constraint satisfaction problem (CSP), the aim is to find an assignment of values to a
given set of variables, subject to specified constraints. The CSP is known to be NP-complete …

The relationship between two commutators

KA Kearnes, Á Szendrei - International Journal of Algebra and …, 1998 - World Scientific
We clarify the relationship between the linear commutator and the ordinary commutator by
showing that in any variety satisfying a nontrivial idempotent Mal'cev condition the linear …

Notes on csps and polymorphisms

Z Brady - arXiv preprint arXiv:2210.07383, 2022 - arxiv.org
These are notes from a multi-year learning seminar on the algebraic approach to Constraint
Satisfaction Problems (CSPs). The main topics covered are the theory of algebraic structures …

[PDF][PDF] Bounded relational width

A Bulatov - Unpublished manuscript, 2009 - Citeseer
We prove that CSP (A) for an idempotent algebra A has bounded relational width if and only
if var (A) omits the unary and affine types. If it has bounded relational width it has relational …

Combinatorial problems raised from 2-semilattices

AA Bulatov - Journal of Algebra, 2006 - Elsevier
The Constraint Satisfaction Problem (CSP) provides a general framework for many
combinatorial problems. In [AA Bulatov, AA Krokhin, PG Jeavons, Classifying the complexity …

Graphs of relational structures: restricted types

AA Bulatov - Proceedings of the 31st Annual ACM/IEEE Symposium …, 2016 - dl.acm.org
In our LICS 2004 paper we introduced an approach to the study of the local structure of finite
algebras and relational structures that aims at applications in the Constraint Satisfaction …

Graphs of finite algebras: edges, and connectivity

AA Bulatov - Algebra universalis, 2024 - Springer
We refine and advance the study of the local structure of idempotent finite algebras started in
Bulatov (LICS, 2004). We introduce a graph-like structure on an arbitrary finite idempotent …

Subquasivarieties of regularized varieties

C Bergman, A Romanowska - Algebra Universalis, 1996 - Springer
This paper considers the lattice of subquasivarieties of a regular variety. In particular we
show that if V is a strongly irregular variety that is minimal as a quasivariety, then the …