Round Robin Tournament Scheduling

11 Team 10 Game Beer Olympic Schedule

Lseeko · 4 · 2580

Lseeko

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on: July 25, 2024, 08:55:46 PM
We are hosting yard olympics & trying to create a schedule of events. One team dropped out and we're back to square one with scheduling 10 Games, 11 teams not playing same game twice. Can you help with creating a schedule? I can not figure it out with the byes!

Thanks!!!


Ian Wakeling

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Reply #1 on: July 26, 2024, 01:59:37 AM
With an odd number of teams no balanced schedule is possible, in particular if no team is to play the same game twice, then there must be at least one team who does not play that game - since each match involves two teams.  The best away round is to have 11 types of game, and then use this room square for 12 teams, but delete all the games on the main diagonal that involve team L, then you will have a schedule where each of the 11 teams has one bye, and one game that they do not play.


Aveon

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Reply #2 on: August 01, 2024, 01:53:17 PM
Can you make a setup for 14 teams with 7 or 8 stations/posts, also a setup for 16 teams with 8 stations/posts? Thanks in advance!



Ian Wakeling

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Reply #3 on: August 03, 2024, 07:04:07 AM
Here are two schedules that should work.  They are symmetric, so rows & columns can be assigned to rounds & games either way around.

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

16 teams (A to P), 8 rounds/8 games
(A P) (C O) (L B) (H K) (I J) (M N) (F G) (E D)
(H D) (L G) (C J) (A N) (F B) (E K) (I O) (M P)
(M J) (I N) (F D) (E G) (C P) (A O) (L K) (H B)
(F N) (E J) (M G) (I D) (H O) (L P) (A B) (C K)
(C G) (A D) (H N) (L J) (M K) (I B) (E P) (F O)
(E B) (F K) (I P) (M O) (L D) (H G) (C N) (A J)
(L O) (H P) (A K) (C B) (E N) (F J) (M D) (I G)
(I K) (M B) (E O) (F P) (A G) (C D) (H J) (L N)