Graph polynomials serve as robust algebraic encodings of the intricate combinatorial properties inherent to graphs. At the heart of this discipline lies the Tutte polynomial, an invariant that not ...

We add a fixed number of vertices of degree 1 to each vertex from one part of a bipartite graph. We study characteristic, matching and some related polynomials for graphs obtained in this way.

How can the tiniest particles and the vast structure of the universe be explained using the same kind of mathematics? This puzzle is the focus of recent research by mathematicians Claudia Fevola ...

By exploring positive geometry, mathematicians are revealing hidden shapes that may unify particle physics and cosmology, offering new ways to understand both collisions in accelerators and the ...

This paper presents a method for graduating fertility rates for five-year age groups of women, by means of polynomial functions which are constrained to have the shape required at the limits of ...