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A distributed algorithm for minimum-weight spanning trees (1983)

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by R. G. Gallager , P. A. Humblet , P. M. Spira
Citations:435 - 3 self
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BibTeX

@MISC{Gallager83adistributed,
    author = {R. G. Gallager and P. A. Humblet and P. M. Spira},
    title = {A distributed algorithm for minimum-weight spanning trees},
    year = {1983}
}

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Abstract

A distributed algorithm is presented that constructs he minimum-weight spanning tree in a connected undirected graph with distinct edge weights. A processor exists at each node of the graph, knowing initially only the weights of the adjacent edges. The processors obey the same algorithm and exchange messages with neighbors until the tree is constructed. The total number of messages required for a graph of N nodes and E edges is at most 5N log2N + 2E, and a message contains at most one edge weight plus log28N bits. The algorithm can be initiated spontaneously at any node or at any subset of nodes.

Keyphrases

distributed algorithm    exchange message    log28n bit    undirected graph    distinct edge weight    adjacent edge    edge weight    total number   

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