Ideal Round Robin

Given n teams, every round robin schedule (n-teams.txt) has the following properties:

n is even

1. Mirrored double round robin schedule: Same games in round k and round k+n-1, except inverted home advantage.
2. Total number of breaks (consecutive home/away games) is a minimum and equals 3n-6 [de Werra 1981].
3. First n-1 rounds on their own compose a single round robin schedule with a minimum of n-2 breaks [de Werra 1981] (odd team numbers have n/2 home games).
4. No breaks in rounds 2 and n-1, entailing that every team has precisely 1 home game in the first 2 rounds and precisely 1 home game in the last 2 rounds.
5. No consecutive breaks, entailing no more than 2 home/away games in a row for every team.
6. Teams 1 and 2 have 0 breaks, all other teams have 3 breaks.
7. The higher the team number, the lower the round number containing the first break for the team.

n is odd

1. Mirrored double round robin schedule: Same games in round k and round k+n, except inverted home advantage.
2. Total number of breaks (consecutive home/away games without considering bye rounds) is a minimum and equals n [de Werra 1981].
3. First n rounds on their own compose a single round robin schedule with a minimum of 0 breaks [de Werra 1981].
4. An optimum amount of n-1 teams have precisely 1 home game in the first 2 rounds and precisely 1 home game in the last 2 rounds.
5. No consecutive breaks, entailing no more than 2 home/away games in a row for every team.
6. Every team has exactly 1 break.
7. The higher the team number, the lower the round number containing the first break for the team.

_{The schedules in this repository were created based on optima extracted from the literature, with the purpose to serve as basis for sports scheduling projects.}