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SRDS
1998
IEEE
15 years 4 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
WEA
2007
Springer
158views Algorithms» more  WEA 2007»
15 years 5 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers
OPODIS
2001
15 years 1 months ago
A Very Fast (Linear Time) Distributed Algorithm, on General Graphs, for the Minimum-Weight Spanning Tree
In their pioneering paper [4], Gallager et al. introduced a distributed algorithm for constructing the minimum-weight spanning tree (MST), many authors have suggested ways to enhan...
Lélia Blin, Franck Butelle
WDAG
2007
Springer
162views Algorithms» more  WDAG 2007»
15 years 5 months ago
A Distributed Algorithm for Finding All Best Swap Edges of a Minimum Diameter Spanning Tree
Communication in networks suffers if a link fails. When the links are edges of a tree that has been chosen from an underlying graph of all possible links, a broken link even disco...
Beat Gfeller, Nicola Santoro, Peter Widmayer