Chromatic symmetric functions and combinatorial polynomials are central constructs in modern algebraic combinatorics, extending classical graph invariants into rich algebraic frameworks.

We develop a theory of such functions analogous to the ordinary theory of symmetric functions. In particular, we define analogs of the monomial, power sum, elementary, complete homogeneous, and Schur ...

Robert Hooke, Symmetric Functions of a Two-way Array, The Annals of Mathematical Statistics, Vol. 27, No. 1 (Mar., 1956), pp. 55-79 ...