Round Robin Tournament Scheduling

22 player euchre tournament

david10 · 2 · 7399

david10

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on: February 03, 2011, 04:20:15 PM
Hello, I am looking for a 22 player Euchre tournament schedule in order to play 11 rounds where everyone gets a bye.  I have modified rounds from a 20 player tournament using excel by giving 1,2 a bye and programming {IF(A1>2,A1+2,A1)} then 2,3 on bye and {IF(A2>4,A2+2,A2)} where A1 and A2 are the original cells from the 20 player tournament and so on...  However, when I did so I lost the uniqueness of playing a maximum of only one time with each player.  Any help would be much appreciated towards a socially efficient solution.  
 
P.S.  Tournament is on Saturday, sorry for the short notice, thank you in advance for any help!
 
David


Ian Wakeling

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Reply #1 on: February 04, 2011, 03:13:49 AM
Hello David,

I think the following schedule will work for your tournament.  It has a cyclic structure where each column loops round the players A to K, or L to V.


(N Q v H A) (L R v T M) (U C v B J) (P G v I D) (K S v O E)  (V F)
(O R v I B) (M S v U N) (V D v C K) (Q H v J E) (A T v P F)  (L G)
(P S v J C) (N T v V O) (L E v D A) (R I v K F) (B U v Q G)  (M H)
(Q T v K D) (O U v L P) (M F v E B) (S J v A G) (C V v R H)  (N I)
(R U v A E) (P V v M Q) (N G v F C) (T K v B H) (D L v S I)  (O J)
(S V v B F) (Q L v N R) (O H v G D) (U A v C I) (E M v T J)  (P K)
(T L v C G) (R M v O S) (P I v H E) (V B v D J) (F N v U K)  (Q A)
(U M v D H) (S N v P T) (Q J v I F) (L C v E K) (G O v V A)  (R B)
(V N v E I) (T O v Q U) (R K v J G) (M D v F A) (H P v L B)  (S C)
(L O v F J) (U P v R V) (S A v K H) (N E v G B) (I Q v M C)  (T D)
(M P v G K) (V Q v S L) (T B v A I) (O F v H C) (J R v N D)  (U E)


A player's 10 partners are all different, and a player's 20 opponents are all different. Also the single player who is not seen in opposition, is one of the 10 partners, so the schedule has the optimal social mixing property that you are looking for.

Hope the tournament is a success.

Ian.