Upper and lower bounds for the ground state entropy of antiferromagnetic Potts models

Robert Shrock, Shan-Ho Tsai
1997 Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics  
We derive rigorous upper and lower bounds for the ground state entropy of the q-state Potts antiferromagnet on the honeycomb and triangular lattices. These bounds are quite restrictive, especially for large q.
doi:10.1103/physreve.55.6791 fatcat:3x5c7ybfurahtjkx2wrllys3je