On the maximum empty rectangle problem

نویسندگان

  • Amnon Naamad
  • D. T. Lee
  • Wen-Lian Hsu
چکیده

Given a rectangle A and a set S of n points in A, we consider the problem, called the maximum empty rectangle problem, of finding a maximum area rectangle that is fully contained in A and does not contain any point of S in its interior. An O(n’) time algorithm is presented. Furthermore, it is shown that if the points of S are drawn randomly and independently from A, the problem can be solved in O(n(log n)*) expected time.

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 8  شماره 

صفحات  -

تاریخ انتشار 1984