Recent Posts

61

Requests / Re: variation on a steiner triple system

« Last post by babyteeth on November 18, 2024, 03:13:49 PM »

As I was posting this, I had another thought which may be relevant. If this got bigger, I would necessarily organize this into brackets. So within bracket groupings, I would want those conditions, but no need for that across all tournament participants.

62

Requests / Re: variation on a steiner triple system

« Last post by babyteeth on November 18, 2024, 03:09:43 PM »

This is very interesting, thank you! With only 18ppl at the moment, I don't know how I would compensate for so many 'ghost' players. Also, much of that math is well over my head 🤓
Perhaps I'm overthinking. I'd very much appreciate any suggestions you may have in how to approach this. I have a group of people who all play the same game, of which 10-30 of those might sign up for a tournament. It's teams of 3 vs 3, but everyone plays as individuals. Each individual player on a team gets 3 pts for the team win, 1 for team draw, 0 for team loss.
Top 6 players in points move on to a set of 3 finals matches with teams based on rank (1-6) after round one

I'm trying to find a way to assign players so that a) teams are as unique as possible. b) opponents are unique as possible. c) the system is flexible if there are odd numbers of participants. d) everyone plays the same number of matches. And e) minimizing the total number of matches, no matter how many players sign up within that range.
Also, this is a video game, so there are 'infinite' courts!

Please let me know what you think. Thank you in advance!
BT

63

Requests / Re: Mixed Doubles, rotating partners and opponents, 16 players, 8 rounds, no repeat

« Last post by Ian Wakeling on November 17, 2024, 01:16:36 PM »

It can be done on 3 courts with some byes, but I am not aware of a 4 court solution.  See the schedule in reply #6 here.

64

Requests / Re: variation on a steiner triple system

« Last post by Ian Wakeling on November 17, 2024, 01:09:36 PM »

I don't think a generalizable solution exists, however what you are asking for is close to a resolvable covering.  For example see Table A.2 in this paper can potentially be converted to a minimum round schedule for 24 players on 4 courts of 3 vs 3, where all pairs of players meet at least once (either as partners or opponents).

65

Requests / Re: Bridge tables arrangement

« Last post by Ian Wakeling on November 17, 2024, 12:47:30 PM »

Click on the link at the top of the page that says "Visit the pages that inspired the forum.." then go for cyclic tables, where the cyclic or balanced table for 12 items should give you what you want.  Hope that helps.

66

Requests / variation on a steiner triple system

« Last post by babyteeth on November 15, 2024, 07:19:17 PM »

Hi there!
I have a scenario for which I cannot find a representative solution and I could use your help!
I have a group of players who want to play in a 3v3 tournament, and we want to arrange each player into rotating groups of three such that every player will play the same number of matches, play either with -or- against every other player at least once, AND minimize the total number of matches.
The current number of players is 18, but will change for each tournament, so I am looking for a generalizable solution as opposed to brute force.
Please let me know if there is any information required that I have left out. Thank you!
BT

67

Requests / Mixed Doubles, rotating partners and opponents, 16 players, 8 rounds, no repeat

« Last post by laz on November 15, 2024, 03:39:03 PM »

Is it possible to create a Mixed Doubles schedule with rotating partners and opponents, only playing with each partner one time and only playing against each opponent one time.

If this is not possible, could I please schedule where each player plays with different partner each match but can play against the same opponent a maximum of 2 times?

Male Players: 8
Female Players: 8
Rounds: 8
Courts: 4

Male Players
M1
M2
M3
M4
M5
M6
M7
M8


Female Players
F1
F2
F3
F4
F5
F6
F7
F8

68

Requests / Bridge tables arrangement

« Last post by freddot5 on November 15, 2024, 02:19:32 PM »

I have 12 couples for bridge playing at 6 tables for 11 rounds. How do I arrange so that each couple plays each other only once?

69

Requests / Re: Create a "balanced" schedule for 10 players and 2 courts over 25 weeks

« Last post by karyn on November 14, 2024, 09:54:49 AM »

Ian - 

I have just wandered back to here and found your reply and solution.

I like it!  Thank you so much!

Karyn

70

Requests / Re: Home teams clash

« Last post by Ian Wakeling on October 29, 2024, 04:38:29 AM »

My Excel spreadsheet can help you do this.  Note that it does not work on an apple mac.  There are some more details in this thread, but basically if you view the single or double round robin in home/away format and "do not randomize" then you should find it relatively easy to pair up the teams who share a venue, by looking for the sequences of back-ground color that are out of step with each other.