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31

Requests / Balanced Tournament

« Last post by Calteq on March 17, 2025, 03:18:34 AM »

Hi

I have only just found this forum 

Thx for this spreadsheet

I have used it (the programming) to produce fixtures for Bowls Club Fixtures
(I can post the Spreadsheet if required)
 
I noticed with interest your reply to InnesW20

>>>>> Reply #3 on: February 22, 2025, 12:13:45 AM

The more venues there are, the easier things get.  With 6 venues you can have:

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


how is this acheived with the Round Robin spreadsheet?

32

Requests / Re: 21 person euchre rotation table

« Last 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.

33

Requests / Re: 21 person euchre rotation table

« Last 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

34

Requests / Re: 21 person euchre rotation table

« Last post by Ian Wakeling on February 25, 2025, 05:45:23 PM »

You could look here for "21 players".  I think you need 21 rounds as every round one of the 21 players has  a bye.

35

Requests / 21 person euchre rotation table

« Last 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!

36

Requests / Re: Partitioned Balanced Tournament Design (PBTD) for 8 teams with more venues

« Last post by Innesw20 on February 24, 2025, 05:33:07 PM »

Thanks Ian, they solve my problem.

37

Requests / Re: PBTD for 8 teams with more venues

« Last post by Ian Wakeling on February 22, 2025, 12:13:45 AM »

The more venues there are, the easier things get.  With 6 venues you can have:

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

which leaves the following 4 pairings to be played in the final round.

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


If you have 7 venues, then there is the Room Square.

38

Requests / Re: PBTD for 8 teams with more venues

« Last post by Innesw20 on February 21, 2025, 05:43:10 PM »

Afraid not - it does need to be partitioned: a team at a venue at most once in rounds 1-4 and at most once in rounds 4-7.

I imagine it would look something like this, if it can work for 5 venues (rounds in rows, venues in cols):
(   ) (1 x) (x x) (x x) (x x)
(x x) (x x) (   ) (x x) (1 x)
(x x) (   ) (1 x) (x x) (x x)
(1 x) (x x) (x x) (x x) (   )
(x x) (x x) (1 x) (   ) (x x)
(x x) (   ) (x x) (x x) (1 x)
(   ) (x x) (x x) (1 x) (x x)
Ideally each team should play on each venue at least once in the competition, but that may be asking too much.

39

Requests / Re: PBTD for 8 teams with more venues

« Last post by Ian Wakeling on February 21, 2025, 04:02:01 AM »

The PBTD might not be necessary.  Could you use the regular balanced schedule instead.  Go here and enter 8 items and 'balanced'.

40

Requests / Partitioned Balanced Tournament Design (PBTD) for 8 teams with more venues

« Last post by Innesw20 on February 20, 2025, 05:58:32 AM »

In the game of lawn bowls, if there are only 8 teams in a competition there would frequently be more rinks available (the standard green has eight) than are required to play each round (4).

The mathematicians have shown that there does not exist a PBTD for 8 teams and 4 venues.

I was wondering whether a PBTB-equivalent for 8 teams could be constructed where the number of venues is 5 instead of 4? If not, would 6 venues allow it? Or is it just not mathematically possible? This is essentially easing the restriction on the number of venues that applies in the standard definition of PBTDs.