activity
20052026
most citedEssential Convexity and Complexity of Semi-Algebraic Constraints

72 citations · 320 across the 78 of their papers we have counts for

collaborators

96 papers

cs.CC2026

Graph Homomorphisms and Universal Algebra

Manuel Bodirsky

Constraint satisfaction problems are computational problems that naturally appear in many areas of theoretical computer science. One of the central themes is their computational co…

cs.CC2026

The complexity of finding coset-generating polymorphisms and the promise metaproblem

Manuel Bodirsky, Armin Weiß

We show that the metaproblem for coset-generating polymorphisms is NP-complete, answering a question of Chen and Larose: given a finite structure, the computational question is whe…

math.LO2026

The Complexity of Resilience for Digraph Queries

Manuel Bodirsky, Žaneta Semanišinová

We prove a complexity dichotomy for the resilience problem for unions of conjunctive digraph queries (i.e., for existential positive sentences over the signature of directe…

math.LO2025

Taking model-complete cores

Manuel Bodirsky, Bertalan Bodor, Paolo Marimon

A first-order theory is a model-complete core theory if every first-order formula is equivalent modulo to an existential positive formula; a core companion of a theory …

math.CO2025

Circular Chromatic Numbers, Signability, Relation Algebras, and Network Satisfaction Problems

Manuel Bodirsky, Santiago Guzmán-Pro, Moritz Jahn +2

In this paper, we characterize finite graphs with circular chromatic number less than 3 in terms of the existence of certain signings (-labellings studied in the conte…

math.LO2025

On the Computational Power of Extensional ESO

Manuel Bodirsky, Santiago Guzmán Pro

Extensional ESO is a fragment of existential second-order logic (ESO) that captures the following family of problems. Given a fixed ESO sentence and an input structure $\mathbb…