In 1990, motivated by applications in the social sciences, Thomas Schwartz made a conjecture about tournaments which would have had numerous attractive consequences. In particular, it implied that ...

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 ...

Consider a pencil lying on your desk. Try to spin it around so that it points once in every direction, but make sure it sweeps over as little of the desk’s surface as possible. You might twirl the ...