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A Decidable Dichotomy Theorem on Directed Graph Homomorphisms with Non-negative Weights

A Decidable Dichotomy Theorem on Directed Graph Homomorphisms with Non-negative Weights

The complexity of graph homomorphism problems has been the subject of intense study. It is a long standing open problem to give a (decidable) complexity dichotomy theorem for the partition function of directed graph homomorphisms. In this paper, we prove a decidable complexity dichotomy theorem for this problem and our …