Zeros of chromatic and Tutte (Potts) polynomials and general Ising model, and their accumulation sets for families of graphs
Seminar Room 1, Newton Institute
We discuss results on zeros of chromatic and Tutte polynomials (the latter being equivalent to the Potts model partition function ) in the q and temperature plane, and their accumulation sets for various families of graphs. We also present results on zeros of the q=2 Ising case in the presence of a nonzero magnetic field. This area combines combinatorics and graph theory with complex analysis and algebraic geometry, as well as statistical physics. A numer of areas for further research are suggested.
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