Curling - 10 teams playing on 4 sheets for 7 weeks

[QuietTimes]

I can find lots of schedules for 10 teams on 5 sheets but we only have 4 sheets.  Therefore two teams will be on bye each week.  I need to have the games balanced across the sheets so that one team doesn't play most of their games on the same sheet.

Any help greatly appreciated.


QuietTimes
:-/

[Ian Wakeling]

Here is one possible schedule:

  S1    S2    S3    S4
(A B) (H J) (E I) (---)
(C F) (B H) (A E) (D G)
(D I) (F J) (B G) (A C)
(E J) (D H) (C G) (A F)
(B D) (F I) (---) (E G)
(B E) (A G) (C H) (I J)
(G J) (C E) (D F) (H I)
(A I) (B C) (D J) (G H)
(A H) (---) (C J) (E F)
(E H) (G I) (A D) (B F)
(F G) (A J) (B I) (C D)
(C I) (D E) (F H) (B J)

The main issue is that the number of games to play (45) is not divisible by 4.  Therefore 12 weeks are necessary and so there must be 3 occasions when a sheet is left empty; above these are in rounds 1, 5 and 9, but let me know if you would like some other arrangement.   Teams should play either 2 or 3 times on each sheet.

[QuietTimes]

I suppose saying "round robin" is in error since we are only doing 7 weeks.  The teams will not play all 9 of the competition.  We do need to have four games playing each time with four teams on bye.  

Working on a solution I will put teams 1 and 2 on bye the first week; teams 3 and 4 the second week and so on.  Then just a matter of putting the remaining teams on alternate ices etc.

[Ian Wakeling]

You could play something like this:

(J E) (D F) (G C) (A H) [BI]
(A G) (J I) (B H) (C F) [DE]
(D H) (G B) (E F) (I C) [AJ]
(I B) (A E) (D C) (J H) [FG]
(D J) (B F) (I A) (G E) [CH]
(E C) (I H) (J G) (D B) [AF]
(H F) (J C) (D A) (I E) [BG]

I have indicated byes in the last column.   Note that four teams A,F,B & G only have 5 games, while the others all get 6 games.

[QuietTimes]

Perfect!  Thanks you so much!  
Heather