Largest Empty Axis-Parallel Rectangular Annulus

نویسنده

  • Priya Ranjan Sinha Mahapatra
چکیده

In Euclidean plane, a rectangular annulus is the region between parallel rectangles such that the smaller rectangle lies wholly inside the outer rectangle. Given a set P of n points in the two dimensional plane, we propose O(n) time and O(n) space algorithm to identify an axis-parallel largest empty annulus amidst the points of P . We are not aware of any published work on this problem. To the best of our knowledge this is the first O(n) algorithm for recognition largest empty annulus.

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تاریخ انتشار 2012