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
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.