Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: Claud on August 02, 2016, 10:22:39 AM

Title: Lawn Tournament
Post by: Claud on August 02, 2016, 10:22:39 AM
I'm trying to schedule the following:
5 events...everyone plays each event once and no one plays each other twice
11 Teams
12 Teams
13 Teams
14 Teams
15 Teams

Unfortunately I don't know how many teams will be there until the day of the event so I need to be prepared for all options!

I realize there may be byes and there may be one or more teams that have to play an event more than once to make sure everyone plays once...if a team plays an event a second time their points only count from their first go round.
I'm hoping this makes sense!
Please help if you can!  I'm going crazy trying to puzzle this together!
Title: Re: Lawn Tournament
Post by: Ian Wakeling on August 02, 2016, 12:21:26 PM
I have put a range of schedules below.  I think you have realised that even numbers of teams are better, since you can have everyone do each event exactly once, so I have put these schedules first.  For odd numbers of teams, there will always be one team per event who plays twice.  Where this occurs I have highlighted the team that plays twice in the last row.

12 teams (A to L) 6 rounds
(F L) (J A) (I E) (H K) (G D)
(H J) (I F) (C K) (B D) (A L)
(C G) (K D) (J L) (A E) (H B)
(B K) (L E) (H D) (G F) (I C)
(D E) (C B) (G A) (I L) (J F)
(I A) (H G) (F B) (J C) (K E)

14 teams (A to N) 7 rounds
(I A) (F N) (B G) (C M) (J E)
(N B) (K L) (M E) (D A) (I H)
(H G) (C E) (I L) (J B) (F M)
(J L) (H D) (N A) (I K) (G C)
(F C) (G M) (J K) (L E) (B D)
(K E) (I B) (F D) (H N) (A L)
(D M) (J A) (H C) (F G) (N K)

11 teams (A to K) 6 rounds
(D K) (F G) (E C) (H B) (A I)
(G A) (D C) (F I) (J K) (E B)
(J B) (F H) (E K) (C A) (G D)
(E H) (A K) (J D) (G I) (F C)
(F A) (B I) (G H) (E D) (J C)
(C I) (E J) (B A) (F D) (H K)
  A     F     E     D     C

13 teams (A to M) 7 rounds
(I B) (A C) (L K) (F D) (M E)
(M C) (J I) (B E) (H G) (A D)
(E G) (K D) (C I) (A L) (J F)
(H K) (M G) (F A) (J B) (L E)
(I D) (J L) (M H) (C E) (K B)
(J A) (F B) (L G) (M K) (H I)
(F L) (H E) (J D) (M I) (C G)
  I     J     L     M     E

15 teams (A to O) 8 rounds
(D J) (L E) (A F) (N O) (C B)
(A K) (J L) (B N) (H G) (M I)
(C O) (B F) (M K) (D E) (A L)
(J F) (G I) (D H) (K L) (N E)
(M L) (H O) (C J) (A B) (D G)
(N G) (D C) (E O) (J I) (K F)
(B I) (A M) (L G) (C E) (H J)
(H E) (K N) (A I) (M F) (D O)
  J     L     A     E     D
Title: Re: Lawn Tournament
Post by: Claud on August 02, 2016, 01:21:02 PM
Wow...You saved me a lot of aggravation!  Thank you!  :)