en route to 4-6, 7-5, 6-3  ... with a 1-6, 7-6 (7/2), 7-6 (10/8)

Martin Musatov

On May 4, 9:49 pm, Ross <ross.j...@gmail.com> wrote:
> I have a problem where I'm putting a tennis league together under
> certain constraints: Each week, each player must play against a unique
> opponent. In addition, in a doubles league, each player must have a
> unique partner each week. There are limited numbers of courts. For
> example, if 11 people sign up for a singles league where there are
> only 3 courts available, 5 people will have a bye each week. I need
> everybody in my leagues to have the same number of byes and I would
> ideally like their byes to be spaced out over the course of the
> league. I have written a round robin generator in python that rotates
> players opponents each week according to according to the following
> diagram:
>
> 1 2  ->  3 -> 4
>
>  /                 |
>
> 5 <- 6 <-7 <- 8
>
> From here, I am able to zip the pairs up into a list of tuples for
> each week. For example, the first week from the above diagram would
> produce a list like this [(1,5), (2,6), (3,7), (4,8)] and the second
> week would be [(1,6), (5,7), (2,8), (3,4)]. Unfortunately, since the
> first position remains fixed in this algorithm, I am unable to remove
> items from the list to account for court constraints/ bye weeks
> without having the first player always play or always have a bye week.
>
> Would you guys approach this problem differently? The problem gets
> even tougher for a doubles league. Thoughts and theories appreciated...

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