Geodesic
Asymptotic bounds for bipartite Ramsey numbers
The electronic journal of combinatorics, Tome 8 (2001) no. 1
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The bipartite Ramsey number $b(m,n)$ is the smallest positive integer $r$ such that every (red, green) coloring of the edges of $K_{r,r}$ contains either a red $K_{m,m}$ or a green $K_{n,n}$. We obtain asymptotic bounds for $b(m,n)$ for $m \geq 2$ fixed and $n \rightarrow \infty$.
DOI : 10.37236/1561
Classification : 05C55, 05C35
Mots-clés : bounds, Ramsey number 
@article{10_37236_1561,
     author = {Yair Caro and Cecil Rousseau},
     title = {Asymptotic bounds for bipartite {Ramsey} numbers},
     journal = {The electronic journal of combinatorics},
     year = {2001},
     volume = {8},
     number = {1},
     doi = {10.37236/1561},
     zbl = {0964.05044},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/1561/}
}
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Yair Caro; Cecil Rousseau. Asymptotic bounds for bipartite Ramsey numbers. The electronic journal of combinatorics, Tome 8 (2001) no. 1. doi: 10.37236/1561

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