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@article{Rafiey2017DichotomyFD, title={Dichotomy for Digraph Homomorphism Problems}, author={Arash Rafiey and Jeff Kinne and Tom{\'a}s Feder}, journal={CoRR}, year={2017}, volume={abs/1701.02409} }

- Published 2017 in ArXiv

We consider the problem of finding a homomorphism from an input digraph G to a fixed digraph H. We show that if H admits a weak-near-unanimity polymorphism φ then deciding whether G admits a homomorphism to H (HOM(H)) is polynomial time solvable. This confirms the conjecture of Bulatov, Jeavons, and Krokhin [BJK05], in the form postulated by Maroti and McKenzie [MM08], and consequently implies the validity of the celebrated dichotomy conjecture due to Feder and Vardi [FV93]. We transform the… CONTINUE READING

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