Let G be a bipartite graph, with k|e(G). The zero-sum bipartite Ramsey number B(G, Z k ) is the smallest integer t such that in every Z k -coloring of the edges of K t,t , there is a zero-sum mod k copy of G in K t,t . In this article we give the first proof that determines B(G, Z 2 ) for all possib
A complete characterization of the zero-sum (mod 2) ramsey numbers
β Scribed by Yair Caro
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 299 KB
- Volume
- 68
- Category
- Article
- ISSN
- 0097-3165
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## Abstract As a consequence of our main result, a theorem of Schrijver and Seymour that determines the zero sum Ramsey numbers for the family of all __r__βhypertrees on __m__ edges and a theorem of Bialostocki and Dierker that determines the zero sum Ramsey numbers for __r__βhypermatchings are com
Erd6s. P. and C.C. Rousseau, The size Ramsey number of a complete bipartite graph, Discrete Mathematics 113 (1993) 259-262. In this note we prove that the (diagonal) size Ramsey number of K,,.,, is bounded below by $2'2".
We develop a probabilistic polynomial time algorithm which on input a polynomial \(g\left(x_{1}, \ldots, x_{n}\right)\) over \(G F[2], \epsilon\) and \(\delta\), outputs an approximation to the number of zeroes of \(g\) with relative error at most \(\epsilon\) with probability at least \(1-\delta\).