OPTIMUM COMMUNICATION SPANNING TREES IN SERIES-PARALLEL NETWORKS.

Ehab S. El-Mallah; Charles J. Colbourn

doi:10.1137/0214064

OPTIMUM COMMUNICATION SPANNING TREES IN SERIES-PARALLEL NETWORKS.

Ehab S. El-Mallah, Charles J. Colbourn

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The optimum communication spanning tree problem is to locate a spanning tree which minimizes the sum of the lengths of the shortest routes between all pairs of vertices in a graph, weighted by traffic requirements. Although NP-complete in general, this problem has an efficient solution for series-parallel graphs when all requirements are equal. This problem was introduced by Hu, who gave an efficient solution for the restricted case when the network is complete and the distances are equal.

Original language	English (US)
Pages (from-to)	915-925
Number of pages	11
Journal	SIAM Journal on Computing
Volume	14
Issue number	4
DOIs	https://doi.org/10.1137/0214064
State	Published - 1985
Externally published	Yes

ASJC Scopus subject areas

General Computer Science
General Mathematics

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10.1137/0214064

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title = "OPTIMUM COMMUNICATION SPANNING TREES IN SERIES-PARALLEL NETWORKS.",

abstract = "The optimum communication spanning tree problem is to locate a spanning tree which minimizes the sum of the lengths of the shortest routes between all pairs of vertices in a graph, weighted by traffic requirements. Although NP-complete in general, this problem has an efficient solution for series-parallel graphs when all requirements are equal. This problem was introduced by Hu, who gave an efficient solution for the restricted case when the network is complete and the distances are equal.",

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OPTIMUM COMMUNICATION SPANNING TREES IN SERIES-PARALLEL NETWORKS.

Abstract

ASJC Scopus subject areas

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