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Density theorems for bipartite graphs and related Ramsey-type results

โœ Scribed by Jacob Fox; Benny Sudakov


Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
721 KB
Volume
29
Category
Article
ISSN
0209-9683

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We shall prove that for any spatial graph H, there exists a pair of natural numbers (N, M) such that any spatial embedding of the complete bipartite graph K N, M whose projection is a good drawing on the plane contains a subgraph which is ambient isotopic to a subdivision of H. ## 1998 Academic Pre