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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
Inhaltsangabe
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
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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