10 Teams, 2 Byes - 44 Rounds

[Hutcheedingo]

So in an effort to save me a lot of work each year, and the interruptions from COVID this year shutting us down for 3 months... I've got an opportunity to transition our competitions into an Annual League commencing in 2022.

My problem... I have 10 teams, Due to Field Constraints 2 Teams have a Bye each week, and I have 44 Weeks of Play Available, with no play on Public Holidays or during the National Championships (2 Weeks in Late Sept/Early Oct).  All of this is done on a Single Field

I'm looking for a Single Field with 4 games each week, balanced schedule with everyone getting the same number of games against each other.

[Ian Wakeling]

Since you ask that everyone plays each other the same number of times, then I think the only choice that works is to play a triple round-robin (RR), as there will not be enough time slots to play a quadruple RR.   Each RR has 45 games, so the triple schedule will involve 135 games, with a maximum of 4 per week, which could be played in 33 weeks of 4 games, with one short week of 3 games.   I think I could make a schedule like this if that sounds OK to you.

[Hutcheedingo]

Thanks for the reply.  I forgot to mention that the schedule needs to be balanced.  How would a Triple Round Robin look in the example you described?

I thought something like the schedule you drew up at this link would do the trick, but I can't figure out which rounds to pull out to make the third round robin

[Ian Wakeling]

Because of the short rounds, I don't think it is possible to separate the schedule you linked to into individual round-robins.  So here is a triple round robin version.

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