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» On the Length of a Random Minimum Spanning Tree
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COMBINATORICS
2000
112views more  COMBINATORICS 2000»
13 years 4 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
FSTTCS
2007
Springer
13 years 10 months ago
Probabilistic Analysis of the Degree Bounded Minimum Spanning Tree Problem
In the b-degree constrained Euclidean minimum spanning tree problem (bMST) we are given n points in [0;1]d and a degree constraint b  2. The aim is to nd a minimum weight spannin...
Anand Srivastav, Sören Werth
GECCO
2004
Springer
119views Optimization» more  GECCO 2004»
13 years 10 months ago
Randomized Local Search, Evolutionary Algorithms, and the Minimum Spanning Tree Problem
Randomized search heuristics, among them randomized local search and evolutionary algorithms, are applied to problems whose structure is not well understood, as well as to problems...
Frank Neumann, Ingo Wegener
SODA
2004
ACM
144views Algorithms» more  SODA 2004»
13 years 5 months ago
Covering minimum spanning trees of random subgraphs
We consider the problem of finding a sparse set of edges containing the minimum spanning tree (MST) of a random subgraph of G with high probability. The two random models that we ...
Michel X. Goemans, Jan Vondrák