The study of the CO-irredundant Ramsey numbers t(n(1),...,n(k)) is initiate
d. It is shown that several values and bounds for these numbers may be obta
ined from the well-studied generalized graph Ramsey numbers and the values
of t(4, 5), t(4, 6) and t(3, 3, m) are calculated. (C) 2000 John Wiley & So
ns, Inc.