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table_seating [2024-04-11 10:26] – [Strict] niktable_seating [2026-07-11 11:04] (current) – [Upper Version] 88.207.115.163
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 For pairs, resolvable $(v,2,1) 2\text{–designs}$ exist only for $even v, v >= 4$. For pairs, resolvable $(v,2,1) 2\text{–designs}$ exist only for $even v, v >= 4$.
  
-Table size 4: Resolvable $(v,k,1)- 2\text{–designs}. +Table size 4: Resolvable $(v,k,1) 2\text{–designs}$. 
 [[https://www.semanticscholar.org/paper/The-spectrum-of-resolvable-designs-with-block-size-Vasiga-Furino/364fb4a75a38493ed2c86fa3589adfee6d2714f5|This paper]] says that necessary numerical conditions are sufficient except for a case that need not concern us. [[https://www.semanticscholar.org/paper/The-spectrum-of-resolvable-designs-with-block-size-Vasiga-Furino/364fb4a75a38493ed2c86fa3589adfee6d2714f5|This paper]] says that necessary numerical conditions are sufficient except for a case that need not concern us.
  
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 If we have people sitting at round tables and only interacting with their neighbours, then we have the more difficult [[https://en.wikipedia.org/wiki/Oberwolfach_problem|Oberwolfach Problem]] If we have people sitting at round tables and only interacting with their neighbours, then we have the more difficult [[https://en.wikipedia.org/wiki/Oberwolfach_problem|Oberwolfach Problem]]
 +
 +==== Discussion ====
 +
 +A summary of the problem and motivations, [[https://loosediary.wordpress.com/2021/12/20/may-i-sit-here/|May I sit here?]] by Tim Boykett
  
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