Hitting Set in hypergraphs of low VC-dimension

  title={Hitting Set in hypergraphs of low VC-dimension},
  author={Karl Bringmann and L{\'a}szl{\'o} Kozma and Shay Moran and N. Narayanaswamy},
We study the complexity of the Hitting Set problem in set systems (hypergraphs) that avoid certain sub-structures. In particular, we characterize the classical and parameterized complexity of the problem when the Vapnik-Chervonenkis dimension (VC-dimension) of the input is small. VC-dimension is a natural measure of complexity of set systems. Several tractable instances of Hitting Set with a geometric or graph-theoretical flavor are known to have low VC-dimension. In set systems of bounded VC… 

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