Proceedings of the American Mathematical Society, Vol. 81, No. 2 (Feb., 1981), pp. 193-194 (2 pages) In [5] Swarup states a group theoretic conjecture P2 and shows that $\mathrm{P1} \Rightarrow ...

Ethnicities, Vol. 20, No. 2, Special Issue: Diversity in an Anti-immigration Era (April 2020), pp. 293-311 (19 pages) Originally proposed by John Rawls, the idea of reasoning from conjecture is ...

Conjecture (Berge and Fulkerson): Every 2-connected cubic graph has a collection of six perfect matchings that together cover every edge exactly twice. This conjecture is attributed to Berge in [2].

The Kaplansky conjectures are three long-standing open problems on the group rings of torsion-free groups. Last week, Dr. Giles Gardam, postdoc in Mathematics Münster's topology group, announced that ...

Cubic graphs – those regular graphs in which every vertex has degree three – remain a fertile area of research in both combinatorics and theoretical computer science. These graphs are not only central ...

Researchers have proved a special case of the Erdős-Hajnal conjecture, which shows what happens in graphs that exclude anything resembling a pentagon. When you walk into a room full of people, you can ...

Mathematics has its share of prodigies, but rarely does someone so young alter the shape of the field before even earning their first degree. At 17, Hannah Cairo, a homeschooled teenager, has ...

Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...