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 ...

The twin primes conjecture is one of the most important and difficult questions in mathematics. Two mathematicians have solved a parallel version of the problem for small number systems. On September ...

New work establishes a tighter connection between the rank of a polynomial and the extent to which it favors particular outputs. When you deposit a quarter and turn the crank on a gumball machine, the ...