Discrete Mathematics and Theoretical Computer Science

Network Algebra

Authors: Stefanescu, Gheorghe

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eBook $89.00
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  • ISBN 978-1-4471-0479-7
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Softcover $119.00
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  • ISBN 978-1-85233-195-5
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About this Textbook

Network Algebra considers the algebraic study of networks and their behaviour. It contains general results on the algebraic theory of networks, recent results on the algebraic theory of models for parallel programs, as well as results on the algebraic theory of classical control structures. The results are presented in a unified framework of the calculus of flownomials, leading to a sound understanding of the algebraic fundamentals of the network theory. The term 'network' is used in a broad sense within this book, as consisting of a collection of interconnecting cells, and two radically different specific interpretations of this notion of networks are studied. One interpretation is additive, when only one cell is active at a given time - this covers the classical models of control specified by finite automata or flowchart schemes. The second interpretation is multiplicative, where each cell is always active, covering models for parallel computation such as Petri nets or dataflow networks. More advanced settings, mixing the two interpretations are included as well. Network Algebra will be of interest to anyone interested in network theory or its applications and provides them with the results needed to put their work on a firm basis. Graduate students will also find the material within this book useful for their studies.

Table of contents (13 chapters)

  • Brief overview of the key results

    Ştefănescu, Gheorghe

    Pages 3-16

  • Network Algebra and its applications

    Ştefănescu, Gheorghe

    Pages 17-53

  • Networks modulo graph isomorphism

    Ştefănescu, Gheorghe

    Pages 57-89

  • Algebraic models for branching constants

    Ştefănescu, Gheorghe

    Pages 91-121

  • Network behaviour

    Ştefănescu, Gheorghe

    Pages 123-145

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4471-0479-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-1-85233-195-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Network Algebra
Authors
Series Title
Discrete Mathematics and Theoretical Computer Science
Copyright
2000
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-4471-0479-7
DOI
10.1007/978-1-4471-0479-7
Softcover ISBN
978-1-85233-195-5
Edition Number
1
Number of Pages
XVI, 402
Number of Illustrations and Tables
1 b/w illustrations
Topics