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Chromatic polynomials and a second Hamiltonian cycle

Monday 21st January 2008 - 14:00 to 15:00
INI Seminar Room 1

The chromatic polynomial was introduced by Birkhoff in 1912 in order to study the 4-Color Problem. Although the chromatic polynomial has not been very successful for solving coloring problems, it has served as inspiration for other problems in graph theory. In this talk, we describe some graph problems and resuls related to the roots of a chromatic polynomial, in particular the search for a second Hamiltonian cycle. Also a possible list-chromatic polynomial will be discussed.

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