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Zeros of chromatic and Tutte (Potts) polynomials and general Ising model, and their accumulation sets for families of graphs

Presented by: 
R Shrock [SUNY-Stony Brook]
Thursday 24th January 2008 - 14:00 to 15:00
INI Seminar Room 1

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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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons