The Discrete 2-Center Problem
نویسندگان
چکیده
منابع مشابه
Discrete rectilinear 2-center problems
Given a set P of n points in the plane, we seek two squares such that their center points belong to P , their union contains P , and the area of the larger square is minimal. We present efficient algorithms for three variants of this problem: In the first the squares are axis parallel, in the second they are free to rotate but must remain parallel to each other, and in the third they are free t...
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In this paper, an optimal algorithm to solve the continuous/discrete weighted 2-center problem is proposed. The method generalizes the “trimming” technique of Megiddo [5] in a nontrivial way. This result allows an improved O(n log n) time algorithm for the weighted 3-center and 4-center problems.
متن کاملThe 2-Center Problem in Chordal Graphs
In a graph G, the p-center problem is to identify p vertices of G for locating some kind of facilities such that the maximum among the distances from all vertices to their nearest facility is minimized. In this paper, we propose an O(n)-time algorithm for computing a 2-center in a chordal graph with maximum degree at most three, where a graph is chordal if every induced cycle of length at least...
متن کاملRectilinear Static and Dynamic Discrete 2 - center
In this paper we consider several variants of the discrete 2-center problem. The problem is: Given a set S of n demand points and a set C of m supply points, nd two \minimal" axis-parallel squares (or rectangles) centered at the points of C that cover all the points of S. We present eecient solutions for both the static and dynamic versions of the problem (i.e. points of S are allowed to be ins...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 1998
ISSN: 0179-5376
DOI: 10.1007/pl00009387