Combinatorial polynomials, such as the Tutte, U‐ and Schubert polynomials, complement this by systematically organising information about graphs and posets into polynomial expressions.

Graph transformations Given the graph of a common function, (such as a simple polynomial, quadratic or trig function) you should be able to draw the graph of its related function.

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Potts ...

I: Algebraic Induction, Zonal Polynomials, and Hypergeometric Functions, Transactions of the American Mathematical Society, Vol. 301, No. 2 (Jun., 1987), pp. 781-811 ...