Round Robin Tournament

A round robin tournament is a schedule that allows every team to play each other exactly once. Each team plays a game once a week and sometimes has a bye (the week off).

Describe how you could use the sides and diagonals in a regular polygon to create a round robin tournament with an odd number of teams. What is the smallest number of weeks that you can complete a round robin tournament with five teams?

Extension

Describe how you could use the sides, diagonals, and a segment drawn from the center to a vertex in a regular polygon to create a round robin tournament with an even number of teams. What is the smallest number of weeks that you can complete a round robin tournament with six teams?

What is the smallest number of weeks that you can complete a round robin tournament with n teams if n were odd? even?