# On the Approximability of Partial VC Dimension

@article{Bazgan2016OnTA,
title={On the Approximability of Partial VC Dimension},
author={Cristina Bazgan and Florent Foucaud and Florian Sikora},
journal={ArXiv},
year={2016},
volume={abs/1609.05110}
}
• Published 16 September 2016
• Mathematics, Computer Science
• ArXiv
We introduce the problem Partial VC Dimension that asks, given a hypergraph $$H=(X,E)$$ and integers k and $$\ell$$, whether one can select a set $$C\subseteq X$$ of k vertices of H such that the set $$\{e\cap C, e\in E\}$$ of distinct hyperedge-intersections with C has size at least $$\ell$$. The sets $$e\cap C$$ define equivalence classes over E. Partial VC Dimension is a generalization of VC Dimension, which corresponds to the case $$\ell =2^k$$, and of Distinguishing Transversal, which…
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