Structural Analysis of Complex Networks (eBook, PDF)

Redaktion: Dehmer, Matthias

• Format: PDF

Produktbeschreibung

Filling a gap in literature, this self-contained book presents theoretical and application-oriented results that allow to structurally explore complex networks. The work focuses not only on classical graph-theoretic methods, but also demonstrates the usefulness of structural graph theory as a tool for solving interdisciplinary problems. Applications to biology, chemistry, linguistics and data analysis are emphasized.

The book is suitable for a broad, interdisciplinary readership of researchers, practitioners, and graduate students in discrete mathematics, statistics, computer science, machine learning, artificial intelligence, computational and systems biology, cognitive science, computational linguistics, and mathematical chemistry. It may also be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods.

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Produktdetails

• Verlag: Birkhäuser Boston
• Seitenzahl: 486
• Erscheinungstermin: 14. Oktober 2010
• Englisch
• ISBN-13: 9780817647896
• Artikelnr.: 37359486

Inhaltsangabe

Preface.- A Brief Introduction to Complex Networks and Their Analysis.- Partitions of Graphs.- Distance in Graphs.- Domination in Graphs.- Spectrum and Entropy for Infinite Directed Graphs.- Application of Infinite Labeled Graphs to Symbolic Dynamical Systems.- Decompositions and Factorizations of Complete Graphs.- Geodetic Sets in Graphs.- Graph Polynomials and Their Applications I: The Tutte Polynomial.- Graph Polynomials and Their Applications II: Interrelations and Interpretations.- Reconstruction Problems for Graphs, Krawtchouk Polynomials, and Diophantine Equations.- Subgraphs as a Measure of Similarity.- A Chromatic Metric on Graphs.- Some Applications of Eigenvalues of Graphs.- Minimum Spanning Markovian Trees: Introducing Context-Sensitivity Into the Generation of Spanning Trees.- Link-Based Network Mining.- Graph Representations and Algorithms in Computational Biology of RNA Secondary Structure.- Inference of Protein Function from the Structure of Interaction Networks.- Applications of Perfect Matchings in Chemistry.- Index

Rezensionen

From the reviews:

"The book Structural Analysis of Complex Networks presents theoretical as well as practice-oriented results for structurally exploring networks, combining graph-theoretic methods with mathematical techniques from other scientific disciplines such as machine learning, statistics and information theory. ... the book is addressed to an interdisciplinary audience, covering topics from artificial intelligence, computer science, computational and systems biology, cognitive science, computational linguistics, discrete mathematics, machine learning, mathematical chemistry and statistics." (Sanzaiana Caraman, IASI Polytechnic Magazine, Vol. 22 (1/4), March-December, 2010)