Round Robin Tournament Scheduling

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Title: Scheduling for Sixsome pairing for 60 players
Post by: sezuh on March 12, 2016, 09:47:43 PM

Hi IAN,  

 I am looking for the table that shows the sixsome pairings for a total of 60 players, Each player, plays with all 59 possible partners exactly 5 times,with 59 rounds, do you think this is possible to solve?  
thanks and kind regards

Title: Re:  Scheduling for Sixsome pairing for 60 pl
Post by: Ian Wakeling on March 14, 2016, 03:50:27 AM

Hi Sezuh,

I do believe this is possible, but I don't know how to construct the schedule.

If you Google for the search terms:

table RBIBD existence

then look at the table in the 2nd edition of the Handbook, it is showing 'no exceptions' for k=6 and lambda=5, which is the class to which your sixsome schedule belongs.

Best regards,

Ian.

Title: Re:  Scheduling for Sixsome pairing for 60 pl
Post by: Ian Wakeling on March 15, 2016, 01:24:30 PM

Hi Sezuh,

Generalized whist designs might be useful to you.  See this paper in the journal Discrete Mathematics (http://www.sciencedirect.com/science/article/pii/S0012365X03002711).  If you scroll down to Example 28, this gives you the initial round of cyclic schedule for 66 players.

Ian.