specific request 3+2 team

[arnaud]

Hi,

First thanks for this really interesting and unique forum..

I have a special request :

I try to organize an interview schedule with 16 (or 17 people)

The rule/obligation is to have 2 teams = 3 people VS 2 people
Each person must team together in one of the team at least once and be 'opposed' to the other people in the second team at least once..
Everything in a minimum of round..

And I really don't know where to start so some help will be really appreciated..

thank you

[Ian Wakeling]

This problem is really hard, and I can only suggest that you should write a program to search for a workable solution.   I think I would look for 32 interviews in the schedule (with 16 people) and I would try to rearrange the following 32 pairs and 32 triples so that all 5 people in an interview are different and all opponent pairs were covered at least once.

(1 2)    (1 2 4)
(1 3)    (1 5 7)
(1 13)    (1 6 14)
(1 15)    (1 8 16)
(2 9)    (1 9 10)
(2 14)    (1 11 12)
(2 16)    (2 3 5)
(3 4)    (2 6 8)
(3 4)    (2 7 15)
(3 16)    (2 10 11)
(4 5)    (2 12 13)
(4 8)    (3 6 10)
(5 6)    (3 7 12)
(5 10)    (3 8 14)
(5 16)    (3 9 11)
(6 9)    (3 13 15)
(6 12)    (4 6 7)
(6 15)    (4 9 12)
(7 8)    (4 10 14)
(7 9)    (4 11 15)
(7 10)    (4 13 16)
(7 11)    (5 6 13)
(8 11)    (5 8 9)
(8 12)    (5 11 14)
(9 10)    (5 12 15)
(10 13)    (6 11 16)
(11 12)    (7 8 13)
(11 13)    (7 14 16)
(12 14)    (8 10 15)
(13 14)    (9 13 14)
(14 15)    (9 15 16)
(15 16)    (10 12 16)

[arnaud]

hi Ian,

Thank you very much for your help.. I will try to find someone to build this kind of program asap..

best,

arnaud