Distributed minimum spanning tree

Distributed minimum spanning tree

The distributed minimum spanning tree (MST) problem involves the construction of a minimum spanning tree by a distributed algorithm, in a network where nodes communicate by message passing. It is radically different from the classical sequential problem, although the most basic approach resembles Borůvka's algorithm. One important application of this problem is to find a tree that can be used for broadcasting. In particular, if the cost for a message to pass through an edge in a graph is significant, an MST can minimize the total cost for a source process to communicate with all the other processes in the network.

Comment
enThe distributed minimum spanning tree (MST) problem involves the construction of a minimum spanning tree by a distributed algorithm, in a network where nodes communicate by message passing. It is radically different from the classical sequential problem, although the most basic approach resembles Borůvka's algorithm. One important application of this problem is to find a tree that can be used for broadcasting. In particular, if the cost for a message to pass through an edge in a graph is significant, an MST can minimize the total cost for a source process to communicate with all the other processes in the network.
Depiction
Minimum spanning tree.svg
Has abstract
enThe distributed minimum spanning tree (MST) problem involves the construction of a minimum spanning tree by a distributed algorithm, in a network where nodes communicate by message passing. It is radically different from the classical sequential problem, although the most basic approach resembles Borůvka's algorithm. One important application of this problem is to find a tree that can be used for broadcasting. In particular, if the cost for a message to pass through an edge in a graph is significant, an MST can minimize the total cost for a source process to communicate with all the other processes in the network. The problem was first suggested and solved in time in 1983 by Gallager et al., where is the number of vertices in the graph. Later, the solution was improved to and finally where D is the network, or graph diameter. A lower bound on the time complexity of the solution has been eventually shown to be
Is primary topic of
Distributed minimum spanning tree
Label
enDistributed minimum spanning tree
Link from a Wikipage to another Wikipage
Borůvka's algorithm
Broadcasting (computing)
Category:Distributed algorithms
Category:Spanning tree
Distributed algorithm
Distributed computing
FIFO (computing and electronics)
File:Minimum spanning tree.svg
Graph theory
Kruskal's algorithm
Message passing
Minimum spanning tree
Prim's algorithm
Robert G. Gallager
SameAs
4imrq
Distributed minimum spanning tree
m.0fvln9
Q5283163
درخت پوشای مینیمم توزیع شده
Subject
Category:Distributed algorithms
Category:Spanning tree
Thumbnail
Minimum spanning tree.svg?width=300
WasDerivedFrom
Distributed minimum spanning tree?oldid=1123786407&ns=0
WikiPageLength
15496
Wikipage page ID
6183392
Wikipage revision ID
1123786407