Round Robin Tournament Scheduling

having trouble with planning a neighborhood "Olympics"

Icculus · 3 · 2679

Icculus

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on: October 31, 2023, 05:05:27 PM
8 teams, 7 different activities, 5 different locations.  the activities are tied to the location. Each team needs to do each activity once, and only play each other team once. The catch is location 1 and 6 are the same, and location 2, 7 are the same.  Is this possible to do in just 7 rounds?








any suggestions?

Thanks so much!
« Last Edit: October 31, 2023, 10:54:34 PM by Icculus »


Ian Wakeling

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Reply #1 on: November 01, 2023, 05:24:32 AM
7 rounds are impossible as there are 8 games that need to be played at each of locations 1 & 2.  Here is an example of a solution in 8 rounds that might be useful:

(D F) (B H) (---) (A E) (---)
(C F) (A G) (---) (---) (D E)
(A H) (C E) (B G) (---) (---)
(B C) (D H) (---) (F G) (---)
(D A) (B F) (H E) (---) (C G)
(B E) (D G) (A F) (C H) (---)
(G E) (A C) (---) (D B) (F H)
(H G) (F E) (D C) (---) (A B)



Icculus

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Reply #2 on: November 01, 2023, 08:14:21 AM
:o  Thank you!  This will work perfectly.