Technical Terms Chromatic Symmetric Function: A symmetric function that sums over proper colourings of a graph, generalising the chromatic polynomial and encapsulating graph invariants.

Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

Todd Dupont, Ridgway Scott, Polynomial Approximation of Functions in Sobolev Spaces, Mathematics of Computation, Vol. 34, No. 150 (Apr., 1980), pp. 441-463 ...

We give explicit representations of the coefficients of p-valent functions which are polynomials of univalent functions of the class S. With their help we prove the Goodman conjecture in the special ...