Round Robin Tournament Scheduling

Schedules - You must register to Post and Download => Requests => Topic started by: Ningbo on July 22, 2012, 03:37:57 AM

Title: Tournament of Mahjong of 32 Players -> 8 Tables
Post by: Ningbo on July 22, 2012, 03:37:57 AM

Hello

First of all I salute the entire community of this forum.

Now the question:
 
How can I organize a tournament of Mahjong of 32 players using 8 tables?  

I am looking for a 10 round format where no person plays with or against another person twice.
 
Thanks for your help.
Ningbo

Title: Re: Tournament of Mahjong of 32 Players -> 8 Table
Post by: Ian Wakeling on July 22, 2012, 08:37:17 AM

Hi Ningbo,

Use the schedule for 32 golfers that you can find near the bottom of Ed Pegg's social golfer page (https://web.archive.org/web/20120503232317/http://www.maa.org/editorial/mathgames/mathgames_08_14_07.html).

If your tournament grows a little, then the 36 player schedule in 11 days that is missing from Ed's page can be found here on this message board.

Hope that helps.

Ian.

Title: Re: Tournament of Mahjong of 32 Players -> 8 Table
Post by: Ningbo on July 22, 2012, 11:10:55 AM

Hello Ian

Thank you for your answer.

Best Regards

Ningbo

Title: Re: Tournament of Mahjong of 32 Players -> 8 Table
Post by: Ningbo on July 22, 2012, 11:19:49 AM

Hello Ian

Could you tell me if there is any application, or what is the method for calculating these combinations.

Thanks for your help.
Ningbo

Title: Re: Tournament of Mahjong of 32 Players -> 8 Table
Post by: Ian Wakeling on July 22, 2012, 05:36:41 PM

Hello Ningbo,

There is a link on the social golfer page to a paper in the journal Discrete Mathematics by Hao Shen and Jiaying Shen - this is the method for the 32 golfer schedule.  The 36 player schedule I found using a computer search, it's a cyclic design so the first round defines all the other rounds.

Ian.

Title: Re: Tournament of Mahjong of 32 Players -> 8 Table
Post by: Ningbo on July 23, 2012, 12:40:57 PM

Hello Ian
 
Thank you for your answer.
 
Best Regards
 
Ningbo