Ramsey numbers: Breakthrough in fiendishly onerous puzzle has mathematicians partying

Mathematicians have made a breakthrough on an extremely tough downside in combinatorics, the research of combos. It’s the first vital advance in practically a century for our understanding of Ramsey numbers, which can be utilized to explain the minimal dimension of a celebration the place cliques of a sure dimension can or can’t exist.

Named after mathematician Frank Ramsey, these numbers take care of the doable relationships between nodes on a mathematical community known as a graph, that are a …