A First Course in Network Theory

Paperback | April 1, 2015

byErnesto Estrada, Philip Knight

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The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needsof students from very different backgrounds. It references the most commonly used concepts in network theory, provides examples of their applications in solving practical problems, and clear indications on how to analyse their results.In the first part of the book, students and researchers will discover the quantitative and analytical tools necessary to work with complex networks, including the most basic concepts in network and graph theory, linear and matrix algebra, as well as the physical concepts most frequently used forstudying networks. They will also find instruction on some key skills such as how to proof analytic results and how to manipulate empirical network data. The bulk of the text is focused on instructing readers on the most useful tools for modern practitioners of network theory. These include degreedistributions, random networks, network fragments, centrality measures, clusters and communities, communicability, and local and global properties of networks. The combination of theory, example and method that are presented in this text, should ready the student to conduct their own analysis ofnetworks with confidence and allow teachers to select appropriate examples and problems to teach this subject in the classroom.

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The study of network theory is a highly interdisciplinary field, which has emerged as a major topic of interest in various disciplines ranging from physics and mathematics, to biology and sociology. This book promotes the diverse nature of the study of complex networks by balancing the needsof students from very different backgrounds. ...

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 Structu...

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Format:PaperbackDimensions:272 pages, 9.69 × 7.44 × 0.68 inPublished:April 1, 2015Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198726465

ISBN - 13:9780198726463

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Table of Contents

1. Introduction2. General Concepts in Network Theory3. How To Prove It?4. Data Analysis5. Algebraic Concepts in Network Theory6. Spectra of Adjacency Matrices7. The Network Laplacian8. Classical Physcis Analogies9. Degree Distributions10. Clustering Coefficients of Networks11. Random Models of Networks12. Matrix Functions13. Fragment Based Measures14. Classical Node Centrality15. Spectral Node Centrality16. Quantum Physcis Analogies17. Global Properties of Networks I18. Global properties of networks II19. Communicability in Networks20. Statistical Physics Analogies21. Communities in Networks