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Structural analysis of complex networks

Auteur :
Dehmer Matthias
Publication :
Boston : Birkhäuser Boston : Springer e-books, 2011
Collection :
Mathematics and Statistics
Note :
Numerisation de l'édition de : Boston : Springer Science+Business Media, LLC et Springer e-books, 2011
Notes bibliogr. Index p. 483-486
Résumé :
Because of the increasing complexity and growth of real-world networks, their analysis by using classical graph-theoretic methods is oftentimes a difficult procedure. As a result, there is a strong need to combine graph-theoretic methods with mathematical techniques from other scientific disciplines, such as machine learning and information theory, in order to analyze complex networks more adequately. Filling a gap in literature, this self-contained book presents theoretical and application-oriented results 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. Special emphasis is given to methods related to the following areas: * Applications to biology, chemistry, linguistics, and data analysis * Graph colorings * Graph polynomials * Information measures for graphs * Metrical properties of graphs * Partitions and decompositions * Quantitative graph measures Structural Analysis of Complex Networks 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. The book may be used as a supplementary textbook in graduate-level seminars on structural graph analysis, complex networks, or network-based machine learning methods
Contenu :
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
URL :
Disponible en ligne
ISBN :
978-0-8176-4789-6
Langue :
anglais
Type de document :
Ressource électronique
Thèmes :
Graphes, Théorie des
Systèmes, Analyse de
Computer Communication Networks
Computational complexity
Data mining
Bioinformatics
Combinatorics
Mathematics
Applications of Mathematics
Discrete Mathematics in Computer Science
Computational Biology/Bioinformatics
Data Mining and Knowledge Discovery