Chromatic Symmetric Function: A symmetric function that sums over proper colourings of a graph, generalising the chromatic polynomial and encapsulating graph invariants. Combinatorial Polynomial ...

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 ...

Real-World Example of Polynomial Trending Data . For example, polynomial trending would be apparent on the graph that shows the relationship between the profit of a new product and the number of ...

Sometimes the roots of polynomials with rational coefficients are themselves rational numbers, but that’s not always the case. That means mathematicians who want to find the roots of all polynomials ...

Hilbert’s 13th problem asks whether seventh-degree equations can be solved using a composition of addition, subtraction, multiplication and division plus algebraic functions of two variables, tops.