Jump to ContentJump to Main Navigation
NetworksAn Introduction$
Users without a subscription are not able to see the full content.

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

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. An individual user may print out a PDF of a single chapter of a monograph in OSO for personal use. date: 19 October 2019

Matrix algorithms and graph partitioning

Matrix algorithms and graph partitioning

A discussion of network algorithms that use matrix and linear algebra methods, including algorithms for partitioning network nodes into groups

Chapter:
(p.345) Chapter 11 Matrix algorithms and graph partitioning
Source:
Networks
Author(s):

M. E. J. Newman

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199206650.003.0011

The preceding chapter discussed a variety of computer algorithms for calculating quantities of interest on networks, including degrees, centralities, shortest paths, and connectivity. This chapter continues the study of network algorithms with algorithms based on matrix calculations and methods of linear algebra applied to the adjacency matrix or other network matrices such as the graph Laplacian. It begins with a simple example — the calculation of eigenvector centrality — which involves finding the leading eigenvector of the adjacency matrix, and then moves on to some more advanced examples, including Fiedler's spectral partitioning method and algorithms for network community detection. Exercises are provided at the end of the chapter.

Keywords:   network algorithms, network calculations, matrix calculations, linear algebra

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .