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

Pillai and Mijares [7] gave the exact expressions for the first four moments of the sum of s non-zero roots of a matrix occurring in multivariate normal analysis as studied independently by R. A.

This paper provides proof of conjectures about the expected values of the jth elementary symmetric function of the roots (i.e. $E(\operatorname{tr}_j A)$) of a non ...