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

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 ...

Transactions of the American Mathematical Society, Vol. 357, No. 6 (Jun., 2005), pp. 2353-2377 (25 pages) The calculation of crystal structure from X-ray diffraction data requires that the phases of ...

Boolean functions form the backbone of modern cryptographic systems, serving as essential components in the design of stream ciphers, block ciphers, and other security protocols. Their inherent ...