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NetworksAn Introduction$
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Mark Newman

Print publication date: 2010

Print ISBN-13: 9780199206650

Published to Oxford Scholarship Online: September 2010

DOI: 10.1093/acprof:oso/9780199206650.001.0001

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Mathematics of networks

Mathematics of networks

An introduction to the mathematical tools used in the study of networks, tools that will be important to many subsequent developments

Chapter:
(p.109) Chapter 6 Mathematics of networks
Source:
Networks
Author(s):

M. E. J. Newman

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199206650.003.0006

This chapter introduces the basic theoretical tools used to describe and analyze networks, most of which come from graph theory, the branch of mathematics that deals with networks. Topics covered include the adjacency matrix, weighted networks, directed networks, hypergraphs, bipartite networks, trees, planar networks, the graph Laplacian, and random walks. Exercises are provided at the end of the chapter.

Keywords:   graph theory, network analysis, matrix, graph Laplacian, random walks

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