Minimum-width rectangular annulus

Authors:
Joydeep Mukherjee;Priya Ranjan Sinha Mahapatra;Arindam Karmakar;Sandip Das
Affiliations:
The Institute of Mathematical Sciences, Chennai, India;Department of Computer Science and Engineering, University of Kalyani, West Bengal, India;Department of Computer Science and Engineering, Tezpur University, Assam, India;Advanced Computing and Microelectronics Unit, Indian Statistical Institute, Kolkata, India
Venue:
Theoretical Computer Science
Year:
2013

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Abstract

In this paper, we identify a minimum width rectangular annulus that encloses a given set of n points in a plane. We propose an O(n^2logn) time and O(n) space algorithm for this problem. To the best of our knowledge this is the first sub-cubic algorithm for a rectangular annulus for arbitrary orientation.