Towards an Information Theory of Complex Networks

Statistical Methods and Applications

Editors: Dehmer, Matthias, Emmert-Streib, Frank, Mehler, Alexander (Eds.)

  • First book on the market giving a comprehensive look at the applications of information-theoretic models for complex networks
  • Synthesizes graph-theoretic, statistical, and information-theoretic methods to effectively understand and characterize real-world networks
  • Addresses a broad range of disciplines, including quantitative biology, quantitative chemistry, quantitative sociology, and quantitative linguistics
  • Caters to both researchers and scholars across the sciences
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eBook $139.00
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  • ISBN 978-0-8176-4904-3
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  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-8176-4903-6
  • Free shipping for individuals worldwide
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About this book

For over a decade, complex networks have steadily grown as an important tool across a broad array of academic disciplines, with applications ranging from physics to social media. A  tightly organized collection of carefully-selected papers on the subject, Towards an Information Theory of Complex Networks: Statistical Methods and Applications presents theoretical and practical results about information-theoretic and statistical models of complex networks in the natural sciences and humanities. The book's major goal is to advocate and promote a combination of graph-theoretic, information-theoretic, and statistical methods as a way to better understand and characterize real-world networks.

This volume is the first to present a self-contained, comprehensive overview of information-theoretic models of complex networks with an emphasis on applications. It begins with four chapters developing the most significant formal-theoretical issues of network modeling, but the majority of the book is devoted to combining theoretical results with an empirical analysis of real networks. Specific topics include:

  • chemical graph theory
  • ecosystem interaction dynamics
  • social ontologies
  • language networks
  • software systems

This work marks a first step toward establishing advanced statistical information theory as a unified theoretical basis of complex networks for all scientific disciplines. As such, it can serve as a valuable resource for a diverse audience of advanced students and professional scientists. It is primarily intended as a reference for research, but could also be a useful supplemental graduate text in courses related to information science, graph theory, machine learning, and computational biology, among others.

Table of contents (13 chapters)

  • Entropy of Digraphs and Infinite Networks

    Mowshowitz, A.

    Pages 1-16

  • An Information-Theoretic Upper Bound on Planar Graphs Using Well-Orderly Maps

    Bonichon, Nicolas (et al.)

    Pages 17-46

  • Probabilistic Inference Using Function Factorization and Divergence Minimization

    Chan, Terence H. (et al.)

    Pages 47-74

  • Wave Localization on Complex Networks

    Berkovits, Richard (et al.)

    Pages 75-96

  • Information-Theoretic Methods in Chemical Graph Theory

    Konstantinova, Elena

    Pages 97-126

Buy this book

eBook $139.00
price for USA (gross)
  • ISBN 978-0-8176-4904-3
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $179.00
price for USA
  • ISBN 978-0-8176-4903-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Towards an Information Theory of Complex Networks
Book Subtitle
Statistical Methods and Applications
Editors
  • Matthias Dehmer
  • Frank Emmert-Streib
  • Alexander Mehler
Copyright
2011
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media, LLC
eBook ISBN
978-0-8176-4904-3
DOI
10.1007/978-0-8176-4904-3
Hardcover ISBN
978-0-8176-4903-6
Edition Number
1
Number of Pages
XVI, 395
Number of Illustrations and Tables
114 b/w illustrations
Topics