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SAC
2003
ACM
13 years 12 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
CIAC
2000
Springer
210views Algorithms» more  CIAC 2000»
13 years 11 months ago
Computing a Diameter-Constrained Minimum Spanning Tree in Parallel
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to ...
Narsingh Deo, Ayman Abdalla
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 3 days ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
DAM
1999
169views more  DAM 1999»
13 years 6 months ago
Approximating the Weight of Shallow Steiner Trees
This paper deals with the problem of constructing Steiner trees of minimum weight with diameter bounded by d, spanning a given set of vertices in a graph. Exact solutions or logar...
Guy Kortsarz, David Peleg
AINA
2007
IEEE
14 years 1 months ago
Depth-Latency Tradeoffs in Multicast Tree Algorithms
The construction of multicast trees is complicated by the need to balance a number of important objectives, including: minimizing latencies, minimizing depth/hops, and bounding th...
Michael T. Helmick, Fred S. Annexstein