Steiner trees in probabilistic networks

Joseph A. Wald, Charles J. Colbourn

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

Various network reliability problems are #P-complete, however, certain classes of networks such as series-parallel networks, admit polynomial time algorithms. We extend these efficient methods to a superclass of series-parallel networks, the partial 2-trees. In fact, we solve a more general problem: given a probabilistic partial 2-tree and a set T of target nodes, we compute in linear time the probability of obtaining a subgraph connecting all of the target nodes. Equivalently, this is the probability of obtaining a Steiner tree for T. The algorithm exploits a characterization of partial 2-trees as graphs with no subgraph homeomorphic to K4.

Original languageEnglish (US)
Pages (from-to)837-840
Number of pages4
JournalMicroelectronics Reliability
Volume23
Issue number5
DOIs
StatePublished - 1983
Externally publishedYes

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Safety, Risk, Reliability and Quality
  • Condensed Matter Physics
  • Surfaces, Coatings and Films
  • Electrical and Electronic Engineering

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