The National Institute of Education invites suitable applications for the position of Research Associate on a 4-month contract at the Mathematics and Mathematics Education Academic Group.
Project Title: Graph Functions
Project Introduction: Potts models, Tutte polynomials, Jones polynomials, chromatic polynomials, flow polynomials and independent polynomials are the most important graph-functions. The emphasis in this project is on the study of the algebraic and graph theoretic properties of graph-functions. The problems on the algebraic properties are mainly on the locations of graph-functions, unimodality, log-concavity and factorizations of graph-polynomials, while the graph theoretic properties are on the combinatorial interpretations of the coefficients and other properties.