Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí toán học quốc tế đề tài: Small Ramsey Numbers. | Small Ramsey Numbers Stanislaw P. Radziszowski Department of Computer Science Rochester Institute of Technology Rochester NY 14623 spr@ http spr Submitted June 11 1994 Revision 13 August 22 2011 http Surveys ABSTRACT We present data which to the best of our knowledge includes all known nontrivial values and bounds for specific graph hypergraph and multicolor Ramsey numbers where the avoided graphs are complete or complete without one edge. Many results pertaining to other more studied cases are also presented. We give references to all cited bounds and values as well as to previous similar compilations. We do not attempt complete coverage of asymptotic behavior of Ramsey numbers but concentrate on their specific values. Mathematical Reviews Subject Number 05C55 Revisions 1993 February preliminary version RIT-TR-93-009 Ra2 1994 July 3 first posted on the web at the ElJC 1994 November 7 ElJC revision 1 1995 August 28 ElJC revision 2 1996 March 25 ElJC revision 3 1997 July 11 ElJC revision 4 1998 July 9 ElJC revision 5 1999 July 5 ElJC revision 6 2000 July 25 ElJC revision 7 2001 July 12 ElJC revision 8 2002 July 15 ElJC revision 9 2004 July 4 ElJC revision 10 2006 August 1 ElJC revision 11 2009 August 4 ElJC revision 12 2011 August 22 ElJC revision 13 - 1
