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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.
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.