Shortest m-Watchmen Routes for Histograms: The MinMax Case

نویسندگان

  • Bengt J. Nilsson
  • Sven Schuierer
چکیده

In this paper we consider the problem of computing an optimum set of watchmen routes in a histogram. A watchman, in the terminology of art galleries, is a mobile guard and in this version we want to minimize the length of the longest route in the solution. We give an O(n 2 log n) time algorithm to compute the MinMax optimum set of m watchmen in a histogram polygon and we extend the algorithm to solve the Weighted MinMax problem under the same time bound.

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تاریخ انتشار 1992