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Status: Unchecked ×Keyword: geometric intersection graphs ×Clear all

2 claims from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   Erdős–Hajnal Conjecture for Graphs with Bounded VC-Dimension

   Fox, Pach and Suk · Discrete & Computational Geometry · 2018

   Unchecked2 claims
   Show 2 claims

   1. Unchecked“We show that every $n$-vertex graph with bounded VC-dimension contains a clique or an independent set of size at least $e^{(\log n)^{1 - o(1)}}$.”
   2. Unchecked“We show that this bound is tight up to an absolute constant factor in the exponent.”