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Disjoint edges in complete topological graphs

Published 26 Oct 2011 in math.CO and cs.CG | (1110.5684v2)

Abstract: It is shown that every complete n-vertex simple topological graph has at least Omega(n{1/3}) pairwise disjoint edges, and these edges can be found in polynomial time. This proves a conjecture of Pach and T\'oth.

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