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

In this paper, we generalize some results of Stein and Zygmund and of Evans and Larson concerning symmetric functions. In particular, we show that if f is Lebesgue measurable or has the Baire property ...

This is a preview. Log in through your library . Abstract Some conjectures made by De Waal [Ann. Math. Statist. 43 (1972) 344-347] on the expectation of elementary symmetric functions of the roots of ...

John Graf, Ph.D., is an assistant professor in the Department of Mathematical Sciences at the University of Delaware. He received his Ph.D. in mathematics in 2025 from North Carolina State University.