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COMBINATORICS
2002
92views more  COMBINATORICS 2002»
13 years 4 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
2007
121views more  COMBINATORICS 2007»
13 years 4 months ago
A Bound for Size Ramsey Numbers of Multi-partite Graphs
It is shown that the (diagonal) size Ramsey numbers of complete m-partite graphs Km(n) can be bounded from below by cn22(m−1)n, where c is a positive constant. Key words: Size R...
Yuqin Sun, Yusheng Li
JCT
2000
110views more  JCT 2000»
13 years 4 months ago
Unordered Canonical Ramsey Numbers
Following ideas of Richer (2000) we introduce the notion of unordered regressive Ramsey numbers or unordered Kanamori-McAloon numbers. We show that these are of Ackermannian growt...
Duncan C. Richer
EJC
2006
13 years 4 months ago
A note on Ramsey numbers with two parameters
1 The Ramsey number R(G1, G2) is the smallest integer p such that for any graph G on p vertices2 either G contains G1 or G contains G2, where G denotes the complement of G. In this...
Yi Ru Huang, Jian Sheng Yang, Kemin Zhang
JCT
2011
115views more  JCT 2011»
12 years 12 months ago
Sharp thresholds for hypergraph regressive Ramsey numbers
The f-regressive Ramsey number Rreg f (d, n) is the minimum N such that every colouring of the d-tuples of an N-element set mapping each x1, . . . , xd to a colour ≤ f(x1) contai...
Lorenzo Carlucci, Gyesik Lee, Andreas Weiermann