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WADS
2005
Springer
162views Algorithms» more  WADS 2005»
14 years 23 days 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 spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
13 years 8 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...
SAC
2003
ACM
14 years 16 days ago
Greedy Heuristics and an Evolutionary Algorithm for the Bounded-Diameter Minimum Spanning Tree Problem
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
Günther R. Raidl, Bryant A. Julstrom
JUCS
2007
148views more  JUCS 2007»
13 years 7 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
PDCAT
2005
Springer
14 years 23 days ago
Approximating Spanning Trees with Inner Nodes Cost
We consider the practical NP-complete problem of finding a minimum weight spanning tree with both edge weights and inner nodes weights. We present two polynomial time algorithms ...
Rudolf Fleischer, Qi Ge, Jian Li, Shijun Tian, Hai...