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SRDS
1998
IEEE
15 years 6 months ago
Practical Parallel Algorithms for Minimum Spanning Trees
We study parallel algorithms for computing the minimum spanning tree of a weighted undirected graph G with n vertices and m edges. We consider an input graph G with m=n p, where p...
Frank K. H. A. Dehne, Silvia Götz
FOCS
1992
IEEE
15 years 6 months ago
Dynamic Half-Space Reporting, Geometric Optimization, and Minimum Spanning Trees
We describe dynamic data structures for half-space range reporting and for maintaining the minima of a decomposable function. Using these data structures, we obtain efficient dyna...
Pankaj K. Agarwal, David Eppstein, Jirí Mat...
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
15 years 5 months ago
Maintaining a Minimum Spanning Tree Under Transient Node Failures
Given a 2-node connected, undirected graph G = (V, E), with n nodes and m edges with real weights, and given a minimum spanning tree (MST) T = (V, ET ) of G, we study the problem o...
Enrico Nardelli, Guido Proietti, Peter Widmayer
NETWORKS
2008
15 years 1 months ago
A linear programming approach to increasing the weight of all minimum spanning trees
Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so tha...
Mourad Baïou, Francisco Barahona
118
Voted
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
15 years 1 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...