**Recent Work on One-Factorizations of the Complete
Graph**

**Jeff
Dinitz**

**Abstract**

In this talk I will discuss some recent joint work with P.
Dukes of the University of Victoria
and D. Stinson of the University of Waterloo. We have been looking at the cycle structures
formed by one-factorizations of the complete graph (these are basically
round-robin tournaments). I will give a
general overview of the work and will point out some interesting problems that
remain to be solved.