An equation for the general Ramsey number R(p1,p2,...pt;r)
Combinatorics
2011-08-09 v2 Logic
Abstract
The Ramsey number is a valve value such that as long as the cardinality of the -set is no less than ,however all the -subsets of are distributed into boxes, will always have a property expressed as eq.(1).Thus, by calculating the number of ways of distribution of -subsets that makes true,one can get an equation for .The evaluation of the general term in this eq. and the counting of the frequencies of occurrence of the various values the general term takes can be reduced to the problem of elementary counting.
Cite
@article{arxiv.1009.1207,
title = {An equation for the general Ramsey number R(p1,p2,...pt;r)},
author = {Kunjun Song},
journal= {arXiv preprint arXiv:1009.1207},
year = {2011}
}
Comments
Version 2 with one crucial error corrected