Ramsey Number R(3,k)=1,3,4 mod 5
- To: mathgroup at smc.vnet.net
- Subject: [mg107042] Ramsey Number R(3,k)=1,3,4 mod 5
- From: a boy <a.dozy.boy at gmail.com>
- Date: Mon, 1 Feb 2010 06:12:56 -0500 (EST)
Ramsey Number R(3,k)\[Congruent]1,3,4 mod 5 o o o o o ...o o o o o ... o o o Conjecture: The vertexes of Ramsey critical graph G(3,k) can be arranged as interlacing with 2 vertexes and 3 vertexes. So, R(3,k)-1=0,2,3 mod 5, R(3,k)=1,3,4 mod 5 R(3,10) is between [40,43]. If my conjecture is true, then R(3,10) can be 41 or 43 only; R(3,11) is in [46, 51], I think R(3,11) can not be 47 or 50.