Graph Homomorphisms and Universal Algebra

Fuente: arXiv
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Autore principale: Bodirsky, Manuel
Natura: Preprint
Pubblicazione: 2026
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author Bodirsky, Manuel
author_facet Bodirsky, Manuel
contents Constraint satisfaction problems are computational problems that naturally appear in many areas of theoretical computer science. One of the central themes is their computational complexity, and in particular the border between polynomial-time tractability and NP-hardness. In this course we introduce the universal-algebraic approach to study the computational complexity of finite-domain CSPs. The course covers in particular the cyclic terms and bounded width theorems. To keep the presentation accessible, we start the course in the tangible setting of directed graphs and graph homomorphism problems.
format Preprint
id arxiv_https___arxiv_org_abs_2602_14243
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Graph Homomorphisms and Universal Algebra
Bodirsky, Manuel
Computational Complexity
Discrete Mathematics
Logic
Rings and Algebras
Constraint satisfaction problems are computational problems that naturally appear in many areas of theoretical computer science. One of the central themes is their computational complexity, and in particular the border between polynomial-time tractability and NP-hardness. In this course we introduce the universal-algebraic approach to study the computational complexity of finite-domain CSPs. The course covers in particular the cyclic terms and bounded width theorems. To keep the presentation accessible, we start the course in the tangible setting of directed graphs and graph homomorphism problems.
title Graph Homomorphisms and Universal Algebra
topic Computational Complexity
Discrete Mathematics
Logic
Rings and Algebras
url https://arxiv.org/abs/2602.14243