Dichotomy for Real Holant$^c$ Problems

  title={Dichotomy for Real Holant\$^c\$ Problems},
  author={Jin-Yi Cai and Pinyan Lu and Mingji Xia},
Holant problems capture a class of Sum-of-Product computations such as counting matchings. It is inspired by holographic algorithms and is equivalent to tensor networks, with counting CSP being a special case. A classification for Holant problems is more difficult to prove, not only because it implies a classification for counting CSP, but also due to the deeper reason that there exist more intricate polynomial time tractable problems in the broader framework. We discover a new family of… CONTINUE READING
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