During the mid-winter recess, Milan Haiman participated as a member of the Hungarian Math Olympic Team in the Romanian Master of Mathematics (RMM), an International Math Olympiad.
Milan received a silver medal for his performance, finishing 27th place internationally and receiving the high score on the Hungarian Team. Congratulations on this accomplishment, Milan!
Here is one of the problems on which Milan's solution received a perfect score:
Given any positive real number ε, prove that, for all but finitely many positive integers v, any graph on v vertices with at least (1 + ε)v edges has two distinct simple cycles of equal lengths. (Recall that the notion of a simple cycle does not allow repetition of vertices in a cycle.) [RMM Problem #3]
