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9780195049206

The Combinatorics of Network Reliability

by
  • ISBN13:

    9780195049206

  • ISBN10:

    0195049209

  • Format: Hardcover
  • Copyright: 1987-05-21
  • Publisher: Oxford University Press
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List Price: $36.27
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Summary

This book develops combinatorial tools which are useful for reliability analysis, as demonstrated with a probabilistic network model. Basic results in combinatorial enumeration are reviewed, along with classical theorems on connectivity and cutsets. More developed analysis involves extremal set theory, matroid theory, and polyhedral combinatorics, among other themes. The presentation includes proofs or their outlines for most of the main theorems, with the aim of highlighting combinatorial ideas. Details of relevant work are presented wherever feasible. The work is intended for advanced mathematics students and computer science specialists.

Table of Contents

Preliminaries
Exact Algorithms
The Computational Complexity of Reliability Problems
Exact Algorithms for Restricted Classes
The Reliability Polynomial
Edge-Disjoint Subgraphs
Additive and Multiplicative Improvements
Combining the Bounds
The K-Cycle Bound
Computational Results
Table of Contents provided by Publisher. All Rights Reserved.

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