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» A Note on Odd Cycle-Complete Graph Ramsey Numbers
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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
DM
2007
116views more  DM 2007»
13 years 4 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. ...
DAM
2007
70views more  DAM 2007»
13 years 4 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
EJC
2008
13 years 4 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed