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 ...

Polynomials above 4 degrees have a shiny new target on their back.

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field. (January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm ...

Journey with us and join the conversation. See all Abstractions blog Babai’s result presents an algorithm that solves graph isomorphism in a “quasi-polynomial” amount of time. Very roughly speaking, ...

As more data becomes available, the trends often become less linear, and a polynomial trend takes its place. Graphs with curved trend lines are generally used to show a polynomial trend.

Exercise 2.1 1. The graphs of y = p(x) are given in Fig. 2.10 below, for some polynomials p(x). Find the number of zeroes of p(x), in each case. i) No. of zeroes=0 as graph doesn’t intersect at ...