activity
20072022
most citedA Characterisation of First-Order Constraint Satisfaction Problems

65 citations · 76 across the 6 of their papers we have counts for

collaborators

8 papers

math.CO2022

Surjective polymorphisms of reflexive cycles

Isabelle Larivière, Benoit Larose, David Emmanuel Pazmiño Pullas

A reflexive cycle is any reflexive digraph whose underlying undirected graph is a cycle. Call a relational structure Slupecki if its surjective polymorphisms are all essentially un…

cs.CC2021★ 2 cited

QCSP on Reflexive Tournaments

Benoit Larose, Petar Markovic, Barnaby Martin +3

We give a complexity dichotomy for the Quantified Constraint Satisfaction Problem QCSP(H) when H is a reflexive tournament. It is well-known that reflexive tournaments can be split…

math.CO2019

Dismantlability, connectedness, and mixing in relational structures

Raimundo Briceño, Andrei Bulatov, Victor Dalmau +1

The Constraint Satisfaction Problem (CSP) and its counting counterpart appears under different guises in many areas of mathematics, computer science, and elsewhere. Its structural…

cs.CC2017

Surjective H-Colouring over Reflexive Digraphs

Benoit Larose, Barnaby Martin, Daniel Paulusma

The Surjective H-Colouring problem is to test if a given graph allows a vertex-surjective homomorphism to a fixed graph H. The complexity of this problem has been well studied for…

cs.CC2016★ 5 cited

Asking the metaquestions in constraint tractability

Hubie Chen, Benoit Larose

The constraint satisfaction problem (CSP) involves deciding, given a set of variables and a set of constraints on the variables, whether or not there is an assignment to the variab…

cs.CC2013★ 3 cited

Space complexity of list H-colouring: a dichotomy

Laszlo Egri, Pavol Hell, Benoit Larose +1

The Dichotomy Conjecture for constraint satisfaction problems (CSPs) states that every CSP is in P or is NP-complete (Feder-Vardi, 1993). It has been verified for conservative prob…

cs.CC2009★ 1 cited

The complexity of the list homomorphism problem for graphs

Laszlo Egri, Andrei Krokhin, Benoit Larose +1

We completely classify the computational complexity of the list H-colouring problem for graphs (with possible loops) in combinatorial and algebraic terms: for every graph H the pro…

cs.LO2007★ 65 cited

A Characterisation of First-Order Constraint Satisfaction Problems

Benoit Larose, Cynthia Loten, Claude Tardif

We describe simple algebraic and combinatorial characterisations of finite relational core structures admitting finitely many obstructions. As a consequence, we show that it is dec…