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

Shrock, R (SUNY-Stony Brook)
Thursday 24 January 2008, 14:00-15:00

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.


[pdf ] [pdf ]




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