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» Approximation Algorithms for Minimum Tree Partition
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DAM
2007
74views more  DAM 2007»
15 years 5 months ago
On the uniform edge-partition of a tree
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximu...
Bang Ye Wu, Hung-Lung Wang, Shih Ta Kuan, Kun-Mao ...
SIAMCOMP
2008
124views more  SIAMCOMP 2008»
15 years 5 months ago
A Faster, Better Approximation Algorithm for the Minimum Latency Problem
We give a 7.18-approximation algorithm for the minimum latency problem that uses only O(n log n) calls to the prize-collecting Steiner tree (PCST) subroutine of Goemans and Willia...
Aaron Archer, Asaf Levin, David P. Williamson
SAC
2003
ACM
15 years 11 months 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»
15 years 5 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
SPAA
2004
ACM
15 years 11 months ago
Balanced graph partitioning
We consider the problem of partitioning a graph into k components of roughly equal size while minimizing the capacity of the edges between different components of the cut. In part...
Konstantin Andreev, Harald Räcke