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 ...

Problem Type 1 focuses on identifying whether a given function is even, odd, or neither. This type of problem typically ...

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 ...

It has demonstrated the powerful ability of a quantum computer to perform certain computational tasks more efficiently than a classical computer. Thus, to show quantum advantages is a key problem in ...