Graph polynomials serve as powerful invariants that encode both combinatorial and topological features of graphs drawn on surfaces. Beginning with the classical Tutte polynomial for planar graphs, ...

Counting Polynomial is the mathematical function that was initially introduced for application in chemistry in 1936 by G. Polya. Partitioning of graphs can be seen in the coefficients of these ...

👉 Learn how to use the tools needed to graph a polynomial function in factored form. A polynomial in factored form is when the polynomial is written as a product of its linear factors. Each linear ...

👉 Learn how to determine the end behavior of a polynomial function from the graph of the function. To do this we look at the endpoints of the graph to see if it rises or falls as the value of x ...

Illustration of a set of real zeros of a graph polynomial (middle) and two Feynman diagrams. Credit: Max Planck Institute for Mathematics in the Sciences How can the behavior of elementary particles ...

A century ago, the great mathematician David Hilbert posed a probing question in pure mathematics. A recent advance in optimization theory is bringing Hilbert’s work into a world of self-driving cars.