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» An Optimal Minimum Spanning Tree Algorithm
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COR
2008
142views more  COR 2008»
13 years 7 months ago
Modeling and solving the rooted distance-constrained minimum spanning tree problem
In this paper we discuss models and methods for solving the rooted distance constrained minimum spanning tree problem which is defined as follows: given a graph G = (V, E) with no...
Luis Gouveia, Ana Paias, Dushyant Sharma
RANDOM
1999
Springer
13 years 11 months ago
A Randomized Time-Work Optimal Parallel Algorithm for Finding a Minimum Spanning Forest
We present a randomized algorithm to nd a minimum spanning forest (MSF) in an undirected graph. With high probability, the algorithm runs in logarithmic time and linear work on an...
Seth Pettie, Vijaya Ramachandran
SIAMCOMP
2000
104views more  SIAMCOMP 2000»
13 years 7 months ago
A Near-Tight Lower Bound on the Time Complexity of Distributed Minimum-Weight Spanning Tree Construction
This paper presents a lower bound of (D + n/ log n) on the time required for the distributed construction of a minimum-weight spanning tree (MST) in weighted n-vertex networks of ...
David Peleg, Vitaly Rubinovich
NETWORKS
2008
13 years 7 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
ESA
2000
Springer
110views Algorithms» more  ESA 2000»
13 years 11 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