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The Structure of Complex NetworksTheory and Applications$
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Ernesto Estrada

Print publication date: 2011

Print ISBN-13: 9780199591756

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780199591756.001.0001

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Introduction

Introduction

Chapter:
(p.2) (p.3) 1 Introduction
Source:
The Structure of Complex Networks
Author(s):

Ernesto Estrada

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199591756.003.0001

This introductory chapter explains the basic concepts of networks, the history of the field, and the necessity of studying their structure. It provides a global classification of networks with examples from different real-world scenarios. Then, the language of complex network is presented by giving formal definitions of the graph theory concepts used across the book. Every concept is formally defined and illustrated with simple graphical examples.

Keywords:   adjacency matrix, laplacian matrix, degree distributions, assortativity coefficient, spectral graph theory

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