A new proof from the Australian science fiction writer Greg Egan and a 2011 proof anonymously posted online are now being hailed as significant advances on a puzzle mathematicians have been studying ...

Reverse mathematics is a vibrant programme in mathematical logic that investigates the axioms necessary to establish fundamental theorems throughout mathematics. Central to this endeavour are ...

Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.

A mathematical puzzle solved by an anonymous anime fans has led to an unexpected breakthrough in combinatorial mathematics, ...

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