Round Robin Tournament Scheduling

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Title: 21 person euchre rotation table
Post by: kslates on February 25, 2025, 01:21:53 PM

I am having a euchre party Saturday with 11 couples, but one person does not play euchre. So is it possible to have a 21 person rotation where everyone plays with everyone and against everyone if possible. So I would need 20 rounds. Thanks!

Title: Re: 21 person euchre rotation table
Post by: Ian Wakeling on February 25, 2025, 05:45:23 PM

You could look here (http://www.durangobill.com/BridgeCyclicSolutions.html) for "21 players".  I think you need 21 rounds as every round one of the 21 players has  a bye.

Title: Re: 21 person euchre rotation table
Post by: kslates on February 26, 2025, 08:36:27 AM

I am not sure how to use that chart. Nowhere does it have #21 in the rotation

Title: Re: 21 person euchre rotation table
Post by: Ian Wakeling on February 27, 2025, 04:23:09 AM

Sorry, should have explained about that.  Start with the "solution for 13 players" which has the full schedule - note that player zero has the bye in round 1 and that the rounds are generated from the first round by cycling through the numbers 0 to 12 and then back to 0.  For 21 players all you are given is the first round, so you need add zero for the bye and then cycle through 0 to 20, generating  a total of 21 rounds.