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Lectures on Complex Networks$
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Sergey Dorogovtsev

Print publication date: 2010

Print ISBN-13: 9780199548927

Published to Oxford Scholarship Online: May 2010

DOI: 10.1093/acprof:oso/9780199548927.001.0001

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First steps towards networks

First steps towards networks

Chapter:
(p.1) 1 First steps towards networks
Source:
Lectures on Complex Networks
Author(s):

Sergey N. Dorogovtsev

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199548927.003.0001

This chapter introduces the basic notions of graph theory and discusses the starting point of network science, namely the Konigsberg bridge problem. A few examples of different graphs, lattices, and fractals are considered. These are used to explain the notions of a node degree, the shortest path length, clustering and so on. Milgram's experiment is also considered, and the notion of a random network is explained. A fundamental difference between small worlds and lattices and fractals, is discussed.

Keywords:   graph theory, random networks, degree, degree distribution, clustering, trees

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