Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: Evan Armstrong(Guest) on October 04, 2007, 07:42:09 PM

Title: a teams, b sports, c rounds
Post by: Evan Armstrong(Guest) on October 04, 2007, 07:42:09 PM

I have to schedule a tournament with a teams, b sports and c rounds. The goal being that each team plays each other team once and plays each sport once.

HELP ME PLEASE!!

Title: Re: a teams, b sports, c rounds
Post by: Ian Wakeling on October 10, 2007, 09:04:07 AM

For things to work out nicely then you will want the following relationship between the three unknowns a, b & c :

a = b+1 = c+1

For example consider a=8 (teams A to H), b=7 and c=7.

   S1 S2 S3 S4 S5 S6 S7
R1 AB    EF GH       CD
R2 FH AC          BD EG
R3    FG AD BC    EH 
R4    DH    AE CG    BF
R5 DG BE CH    AF
R6 CE       DF BH AG
R7       BG    DE CF AH

Here is another example (http://mathworld.wolfram.com/RoomSquare.html) of the same thing.