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DM
2002
101views more  DM 2002»
13 years 5 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
JCT
2008
92views more  JCT 2008»
13 years 5 months ago
3-Uniform hypergraphs of bounded degree have linear Ramsey numbers
Chv
Oliver Cooley, Nikolaos Fountoulakis, Daniela K&uu...
DM
1998
118views more  DM 1998»
13 years 5 months ago
Chromatic Ramsey numbers
Suppose G is a graph. The chromatic Ramsey number rc(G) of G is the least integer m such that there exists a graph F of chromatic number m for which the following is true: For any...
Xuding Zhu
DM
2007
89views more  DM 2007»
13 years 5 months ago
New upper bound formulas with parameters for Ramsey numbers
In this paper, we obtain some new results R(5, 12) 848, R(5, 14) 1461, etc., and we obtain new upper bound formulas for Ramsey numbers with parameters. © 2006 Published by Elsevi...
Yi Ru Huang, Yuandi Wang, Wancheng Sheng, Jian She...
COMBINATORICS
2000
87views more  COMBINATORICS 2000»
13 years 5 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