Chromatic polynomials of large triangular lattices
- 21 October 1987
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 20 (15), 5241-5261
- https://doi.org/10.1088/0305-4470/20/15/037
Abstract
Evaluating the q colourings of a lattice is equivalent to solving the q-state zero-temperature antiferromagnetic Potts model. This has recently been done exactly for an infinite triangular lattice with q real. Here the results are extended to the full complex q plane, giving the limiting distribution of the zeros of the chromatic polynomial. The results are compared with finite lattice calculations and the occurrence of isolated real zeros converging on the Beraha numbers is noted.Keywords
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