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DM
2007
116views more  DM 2007»
13 years 6 months ago
The Ramsey numbers for a cycle of length six or seven versus a clique of order seven
: For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest integer n such that for any graph G of order n, either G contains G1 or the complement of G contains G...
T. C. Edwin Cheng, Yaojun Chen, Yunqing Zhang, C. ...
GC
2011
Springer
13 years 1 months ago
Properly Edge-Coloured Subgraphs in Colourings of Bounded Degree
The smallest n such that every colouring of the edges of Kn must contain a monochromatic star K1,s+1 or a properly edge-coloured Kt is denoted by f(s, t). Its existence is guarant...
Klas Markström, Andrew Thomason, Peter Wagner...
EJC
2008
13 years 6 months ago
The Ramsey numbers for stars of even order versus a wheel of order nine
For two given graphs G1 and G2, the Ramsey number R(G1, G2) is the smallest positive integer n such that for any graph G of order n, either G contains G1 or the complement of G co...
Yunqing Zhang, Yaojun Chen, Kemin Zhang
COMBINATORICS
1999
83views more  COMBINATORICS 1999»
13 years 6 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
DAM
2007
70views more  DAM 2007»
13 years 6 months ago
Path-kipas Ramsey numbers
For two given graphs F and H, the Ramsey number R(F, H) is the smallest positive integer p such that for every graph G on p vertices the following holds: either G contains F as a ...
A. N. M. Salman, H. J. Broersma