Conventionally, the bracket in a sports tournament is presented like this (link):
In the Euro 2012 that's happening right now, the group stage is followed by the knockout stage (quarter-, semi- and final).
The knockout stage is pretty straightforward. The group stage presents some challenges because it's difficult to present the chronology together with the team standing at the same time.
The official site of Euro 2012 has an innovative "Tournament Map" that is an attempt to improve upon the traditional design. (link)
I have mixed feelings about this presentation. It's easier to get a sense of how each team performed chronologically over the course of the competition. But then, I can't figure out what day the winner of a quarterfinal would play in the semifinal.