Difference between revisions of "2006 Canadian MO Problems/Problem 4"

(No difference)

Revision as of 13:15, 6 February 2007

Problem

Consider a round robin tournament with $2n+1$ teams, where two teams play exactly one match and there are no ties. We say that the teams $X$, $Y$, and $Z$ form a cycle triplet if $X$ beats $Y$, $Y$ beats $Z$, and $Z$ beats $X$.

(a) Find the minimum number of cycle triplets possible.

(b) Find the maximum number of cycle triplets possible.

Solution

This problem needs a solution. If you have a solution for it, please help us out by adding it.