activity
20042026
most citedDichotomy for Digraph Homomorphism Problems

21 citations · 64 across the 26 of their papers we have counts for

collaborators

30 papers

cs.DS2026

Odd Cycle Transversal in -Free Graphs

Akramah Faizi, Arash Rafiey

The Odd Cycle Transversal (OCT) problem, which asks for a minimum subset of vertices whose removal renders a graph bipartite, is a central problem in algorithmic graph theory. It i…

cs.DM2025★ 1 cited

Interval H-graphs : Recognition and forbidden obstructions

Haiko Müller, Arash Rafiey

We introduce the class of interval -graphs, which is the generalization of interval graphs, particularly interval bigraphs. For a fixed graph with vertices $a_1,a_2,\dots,a_…

math.CO2022

Min orderings and list homomorphism dichotomies for signed and unsigned graphs

Jan Bok, Richard Brewster, Pavol Hell +2

The CSP dichotomy conjecture has been recently established, but a number of other dichotomy questions remain open, including the dichotomy classification of list homomorphism probl…

cs.CC2020

Digraph homomorphism problem and weak near unanimity polymorphism

Tomas Feder, Jeff Kinne, Ashwin Murali +1

We consider the problem of finding a homomorphism from an input digraph to a fixed digraph . We show that if admits a weak near unanimity polymorphism then deciding…

cs.DS2020★ 2 cited

Digraphs Homomorphism Problems with Maltsev Condition

Jeff Kinne, Ashwin Murali, Arash Rafiey

We consider a generalization of finding a homomorphism from an input digraph to a fixed digraph , HOM(). In this setting, we are given an input digraph together with…

cs.DS2019

Toward a Dichotomy for Approximation of -coloring

Akbar Rafiey, Arash Rafiey, Thiago Santos

Given two (di)graphs G, H and a cost function , in the minimum cost homomorphism problem, MinHOM(H), goal is finding a hom…