Nature

Chromatic Symmetric Functions And Combinatorial Polynomials

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

Proof of Conjectures About the Expected Values of the Elementary Symmetric Functions of a Noncentral Wishart Matrix

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 ...
JSTOR Daily

Symmetric Functions of a Two-way Array

The Annals of Mathematical Statistics, Vol. 27, No. 1 (Mar., 1956), pp. 55-79 (25 pages) A family of polynomials in the elements of a two-way array, or matrix, is introduced. This family is an ...
Indiatimes

Williamson’s reason and function of symmetry

NEW DELHI: He’s taught at Cambridge and Oxford. He’s now professor emeritus at Sussex University. new delhi: he's taught at cambridge and oxford. he's now professor emeritus at sussex university. his ...
University of Delaware

John Graf

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.