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Number of lines in hypergraphs (1308.5393v1)
Published 25 Aug 2013 in math.CO
Abstract: Chen and Chv\'atal introduced the notion of lines in hypergraphs; they proved that every 3-uniform hypergraph with $n$ vertices either has a line that consists of all $n$ vertices or else has at least $\log_2 n$ distinct lines. We improve this lower bound by a factor of $2-o(1)$.
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