Article ID Journal Published Year Pages File Type
419336 Discrete Applied Mathematics 2014 4 Pages PDF
Abstract

Chen and Chvátal introduced the notion of lines in hypergraphs; they proved that every 33-uniform hypergraph with nn vertices either has a line that consists of all nn vertices or else has at least log2nlog2n distinct lines. We improve this lower bound by a factor of 2−o(1)2−o(1).

Related Topics
Physical Sciences and Engineering Computer Science Computational Theory and Mathematics
Authors
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