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WADS
2005
Springer

The Minimum-Area Spanning Tree Problem

14 years 4 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spanning tree of P of minimum “area,” where the area of a spanning tree T is the area of the union of the n − 1 disks whose diameters are the edges in T . We prove that the Euclidean minimum spanning tree of P is a constant-factor approximation for mast. We then apply this result to obtain constant-factor approximations for the Minimum-Area Range Assignment (mara) problem, for the Minimum-Area Connected Disk Graph (macdg) problem, and for the Minimum-Area Tour (mat) problem. The first problem is a variant of the power assignment problem in radio networks, the second problem is a related natural problem, and the third problem is a variant of the traveling salesman problem.
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
Added 28 Jun 2010
Updated 28 Jun 2010
Type Conference
Year 2005
Where WADS
Authors Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
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