A Mathematician with early access to XAI Grok 4.20, found a new Bellman function for one of the problems he had been working ...

Graph partitioning and bisection problems occupy a central position in combinatorial optimisation and theoretical computer science. These issues involve dividing a graph’s vertex set into distinct ...

In 1950 Edward Nelson, then a student at the University of Chicago, asked the kind of deceptively simple question that can give mathematicians fits for decades. Imagine, he said, a graph — a ...

This film discusses the concept of functions in mathematics, emphasizing their importance and modern formulations. It explains how to create ordered pairs from a set of numbers and illustrates how ...

Researchers thought that they were five years away from solving a math riddle from the 1980's. In reality, and without knowing, they had nearly cracked the problem and had just given away much of the ...

A puzzle that has long flummoxed computers and the scientists who program them has suddenly become far more manageable. A new algorithm efficiently solves the graph isomorphism problem, computer ...

Jacob Holm was flipping through proofs from an October 2019 research paper he and colleague Eva Rotenberg—an associate professor in the department of applied mathematics and computer science at the ...