Lower bounds for multicolor classical Ramsey numbers R(q,q,center dot center dot center dot,q)

Authors
Citation
Wl. Su et al., Lower bounds for multicolor classical Ramsey numbers R(q,q,center dot center dot center dot,q), SCI CHINA A, 42(10), 1999, pp. 1019-1024
Citations number
4
Categorie Soggetti
Multidisciplinary
Journal title
SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY
ISSN journal
10016511 → ACNP
Volume
42
Issue
10
Year of publication
1999
Pages
1019 - 1024
Database
ISI
SICI code
1001-6511(199910)42:10<1019:LBFMCR>2.0.ZU;2-Z
Abstract
A method is put forward to establish the lower bounds for some n-color clas sical Ramsey numbers R(q,q,(...),q) = R-n (g). With this method six new exp licit lower bounds R-4(4) greater than or equal to 458, R-3(5) greater than or equal to 242, R-3(6) greater than or equal to 1070, R-3(7) greater than or equal to 1214, R-3(8) greater than or equal to 2834 and R-3(9) greater than or equal to 5282 are obtained using a computer.