Math @ Duke

Publications [#235555] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Ezra, E; Sharir, M, Nearlinear approximation algorithms for geometric hitting sets,
Algorithmica, vol. 63 no. 12
(2012),
pp. 125, ISSN 01784617 [doi]
(last updated on 2018/03/23)
Abstract: Given a range space (X,R), where R § 2 X, the hitting set problem is to find a smallestcardinality subset H § X that intersects each set in R. We present nearlineartime approximation algorithms for the hitting set problem in the following geometric settings: (i) R is a set of planar regions with small union complexity. (ii) R is a set of axisparallel ddimensional boxes in Rd . In both cases X is either the entire R d , or a finite set of points in R d . The approximation factors yielded by the algorithm are small; they are either the same as, or within very small factors off the best factors known to be computable in polynomial time. © Springer Science+Business Media, LLC 2011.


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