A Mathematical Model of Arranging the Game Schedule for Single Round Robin
Junwei Cai · Journal of Ningbo University · 2004
The fair game schedule for single round robin with n teams on the same playground is discussed. Two criteria are given, one is the minimum of interval games(m n) and the other is maximum of interval games(M n). It is proved that the upper limit of m n equals , and the lower limit of M n equals if m n is . A constructive method for arranging the game schedule in which m n equals the upper limit and M n equals the lower limit is also developed and proved.