English

Complexity Classification Of The Six-Vertex Model

Computational Complexity 2017-03-31 v1 Statistical Mechanics

Abstract

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.

Keywords

Cite

@article{arxiv.1702.02863,
  title  = {Complexity Classification Of The Six-Vertex Model},
  author = {Jin-Yi Cai and Zhiguo Fu and Mingji Xia},
  journal= {arXiv preprint arXiv:1702.02863},
  year   = {2017}
}
R2 v1 2026-06-22T18:13:59.247Z