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

Authors
Su, WL Luo, HP Li, Q
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.