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Real zeros of chromatic and flow polynomials

Monday 21st January 2008 - 11:30 to 12:30
INI Seminar Room 1

I will survey proof techniques, results, and open problems concerning the real zeros of chromatic polynomials and flow polynomials of graphs. In particular I will present a multivariate proof, due to Alan Sokal and myself, of the result that chromatic polynomials have no roots in the interval (1,32/27], which is much simpler than my original proof.

A general, but dated, reference for this talk is:

Bill Jackson, Zeros of Chromatic and Flow Polynomials of Graphs, arXiv:math/0205047v2 [math.CO]

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