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# A Near-Linear Algorithm for the Planar 2-Center Problem

@inproceedings{Sharir1996ANA, title={A Near-Linear Algorithm for the Planar 2-Center Problem}, author={Micha Sharir}, booktitle={Symposium on Computational Geometry}, year={1996} }

- Published 1996 in Symposium on Computational Geometry
DOI:10.1145/237218.237251

We present an 0( n logg n)-time algorithm for computing the 2-center of a set S of n points in the plane (that is, a pair of congruent disks of smallest radius whose union covers S), improving the previous 0( nz log n)time algorithm of [9]. The 2-Center Problem Let S be a set of n points in the plane. The i?-center problem for S is to cover S by (the union of) two congruent closed disks whose radius is as small as possible. This is a special case of the general p-center problem, where we wish… CONTINUE READING