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COMBINATORICS
2004
103views more  COMBINATORICS 2004»
13 years 3 months ago
Constructive Lower Bounds on Classical Multicolor Ramsey Numbers
Xu Xiaodong, Xie Zheng, Geoffrey Exoo, Stanislaw P...
COMBINATORICS
2002
92views more  COMBINATORICS 2002»
13 years 3 months ago
New Lower Bound Formulas for Multicolored Ramsey Numbers
We give two lower bound formulas for multicolored Ramsey numbers. These formulas improve the bounds for several small multicolored Ramsey numbers.
Aaron Robertson
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 3 months ago
Symmetric Sum-Free Partitions and Lower Bounds for Schur Numbers
We give new lower bounds for the Schur numbers S(6) and S(7). This will imply new lower bounds for the Multicolor Ramsey Numbers R6(3) and R7(3). We also make several observations...
Harold Fredricksen, Melvin M. Sweet
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
13 years 3 months ago
New Lower Bounds for Some Multicolored Ramsey Numbers
In this article we use two different methods to find new lower bounds for some multicolored Ramsey numbers. In the first part we use the finite field method used by Greenwood and ...
Aaron Robertson
COMBINATORICS
1998
66views more  COMBINATORICS 1998»
13 years 3 months ago
Some New Ramsey Colorings
New lower bounds for 15 classical Ramsey numbers are established. Several of the colorings are found using a new variation of local search heuristics. Several others are found usi...
Geoffrey Exoo