# Helly-Type Theorems in Property Testing

@inproceedings{Chakraborty2014HellyTypeTI, title={Helly-Type Theorems in Property Testing}, author={Sourav Chakraborty and Rameshwar Pratap and Sasanka Roy and Shubhangi Saraf}, booktitle={LATIN}, year={2014} }

Helly’s theorem is a fundamental result in discrete geometry, describing the ways in which convex sets intersect with each other. If [Formula: see text] is a set of [Formula: see text] points in [Formula: see text], we say that [Formula: see text] is [Formula: see text]-clusterable if it can be partitioned into [Formula: see text] clusters (subsets) such that each cluster can be contained in a translated copy of a geometric object [Formula: see text]. In this paper, as an application of Helly’s…

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