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arxiv: 1702.02863 · v1 · pith:P5SOL3AUnew · submitted 2017-02-09 · 💻 cs.CC · cond-mat.stat-mech

Complexity Classification Of The Six-Vertex Model

classification 💻 cs.CC cond-mat.stat-mech
keywords modelcomplexitydichotomyprovesix-vertexclassificationcomputingcriterion
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We prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that computing the partition function is either solvable in polynomial time or #P-hard. The dichotomy criterion is explicit.

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