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A First Course in Network Theory

Ernesto Estrada and Philip A. Knight

26 March 2015

ISBN: 9780198726463

272 pages
Paperback
246x189mm

In Stock

Price: £36.99

Network theory is a major topic of interdisciplinary research which covers diverse areas including physics, mathematics and sociology. This book covers all the basics and the most commonly used concepts in the field, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results.

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Description

Network theory is a major topic of interdisciplinary research which covers diverse areas including physics, mathematics and sociology. This book covers all the basics and the most commonly used concepts in the field, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results.

  • Illuminates the student and teacher with examples of the application of the fundamental concepts in network theory.
  • Prepares the student with basic mathematical instruction for understanding the whole book.
  • Aids students to appropriate the most important concepts.
  • Direct expository method allows readers to go directly to the points of interest.

About the Author(s)

Ernesto Estrada, Professor and Chair in Complexity Science, University of Strathclyde, UK, and Philip A. Knight, Lecturer in Mathematics, University of Strathclyde, UK

Ernesto Estrada is a Professor in Mathematics at the University of Strathclyde, UK. He is the Chair in Complexity Science since 2008 and the 1964 Chair in Mathematics since 2014. He holds the Wolfson Research Merit Award from the Royal Society and has published more than 160 papers and 10 book chapters. He is the author of The Structure of Complex Networks: Theory and Applications, published by Oxford University Press (OUP) in 2011. Professor Estrada is also the Editor-in-Chief of the Journal of Complex Networks published by OUP. His research interests are in the mathematical analysis of networks, the use of physical analogies to study networks and applications of network theory to society, chemistry, biology, ecology and engineering.

Philip Knight is a Lecturer in Mathematics at the University of Strathclyde, UK. He obtained his PhD in Mathematics from the University of Manchester in 1993 and has spent most of his career carrying out research into matrix algebra. His interest in applications drew him inexorably towards network theory and his research interests now centre on the algebraic structure of networks as well as on the use of networks to represent other mathematical structures. More recently, Dr Knight has been involved in teaching courses on network theory in different countries and is well regarded among students for his expository abilities.

Table of Contents

    1:Introduction
    2:General Concepts in Network Theory
    3:How To Prove It?
    4:Data Analysis
    5:Algebraic Concepts in Network Theory
    6:Spectra of Adjacency Matrices
    7:The Network Laplacian
    8:Classical Physcis Analogies
    9:Degree Distributions
    10:Clustering Coefficients of Networks
    11:Random Models of Networks
    12:Matrix Functions
    13:Fragment Based Measures
    14:Classical Node Centrality
    15:Spectral Node Centrality
    16:Quantum Physcis Analogies
    17:Global Properties of Networks I
    18:Global properties of networks II
    19:Communicability in Networks
    20:Statistical Physics Analogies
    21:Communities in Networks

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