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 ...

Python allows free creation of plots, unlike expensive, stagnant graphing calculators. Import NumPy and Matplotlib for basic linear and polynomial plots in Python. Seaborn lets you make statistical ...

Combinatorial counting problems have rich connections to many areas of science including to algebra, probability, and dynamical systems in mathematics as well as to theoretical computer science and ...

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 ...