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

Let ${\mathrm{\sigma }}_{\mathrm{i}}({\mathrm{x}}_{1},\mathrm{.}\mathrm{.}\mathrm{.},\text{\hspace{0.17em}}{\mathrm{x}}_{\mathrm{n}})\text{\hspace{0.17em}}=\text ...

In an isomorphic copy of the ring of symmetric polynomials we study some families of polynomials which are indexed by rational weight vectors. These families include well known symmetric polynomials, ...

Polynomial approximation constitutes a fundamental framework in numerical analysis and applied mathematics, where complex functions are represented by simpler polynomial forms. A central pillar of ...

Vesselin Dimitrov’s proof of the Schinzel-Zassenhaus conjecture quantifies the way special values of polynomials push each other apart. In the physical world, objects often push each other apart in an ...