Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, November 21, 2006, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Jan Remy

Prize-Collecting Point Sets

Given a set of points P in the plane with non-negative profits (or prizes) we want to select a maximum profit subset X of P which maximizes the total profit of the points in X minus some criterion z(X). In this talk we consider four such criteria, namely the perimeter and the area of the smallest axis-parallel rectangle containing X, and the perimeter and the area of the convex hull of X. In particular, we show how to compute a set of maximum profit with respect to perimeter of the smallest enclosing axis-parallel rectangle in O(n^2 log n) time using O(n) space.

Joint work with Stefanie Gerke.

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