Abstract
Let G be a graph, and let$\chi$ G be its chromatic polynomial. For any non-negative integers i, j, we give an interpretation for the evaluation$\chi$(i) G (--j) in terms of acyclic orientations. This recovers the classical interpretations due to Stanley and to Green and Zaslavsky respectively in the cases i = 0 and j = 0. We also give symmetric function refinements of our interpretations, and some extensions. The proofs use heap theory in the spirit of a 1999 paper of Gessel.