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Armstrong Helen L. - Social network analysis with applications

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Armstrong Helen L. Social network analysis with applications

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Copyright 2013 by John Wiley & Sons, Inc. All rights reserved.

Published by John Wiley & Sons, Inc., Hoboken, New Jersey.

Published simultaneously in Canada.

No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600, or on the web at www.copyright.com. Requests to the Publisher for permission should be addressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008.

Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or completeness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created ore extended by sales representatives or written sales materials. The advice and strategies contained herin may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be liable for any loss of profit or any other commercial damages, including but not limited to special, incidental, consequential, or other damages.

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Wiley also publishes its books in a variety of electronic formats. Some content that appears in print, however, may not be available in electronic format.

Library of Congress Cataloging-in-Publication Data:

Social Network Analysis with Applications / McCulloh... [et al.].

``Wiley-Interscience.''

Includes bibliographical references and index.

ISBN 978-1-118-16947-6 (pbk.)

1. Networks- Analysis. 2. Social

sciences- Research- Statistical methods. I. McCulloh II. Armstrong III. Johnson

HA31.2.S873 2007

001.4'33- dc22

2004044064

To Our Students

List of Figures
I.1Emotions mapped by new geographyxxvii
1.1Graph G3
1.2A social network of 10 people5
1.3(a) Undirected and (b) directed graphs7
1.4Good Will Hunting solution11
1.5Edge list and network diagram for homonyms12
1.6Edge list and network diagram for four letters in common12
1.7Edge list and network diagram for three letters in common13
1.8Edge list and network diagram for two letters in common13
1.9R&D organization formal structure14
1.10R&D Organization informal structure14
1.11Formal NCO chain of support15
1.12Informal NCO network16
2.1Core periphery graph30
2.2Not-so-neat network30
2.3Comparing graphs with nodes sized by (a) degree centrality and (b) eigenvector centrality31
2.4Small world network with nodes sized by betweenness centrality32
2.5A scale-free network with nodes sized by degree centrality, and isolate nodes are hidden32
2.6(a) Star and (b) circle graphs34
2.7Euler bridge problem: (a) map of Konigsberg and (b) graph of Konigsberg bridges35
2.8Example graph for betweenness calculation36
2.9Weighted graph41
2.10Network of eight hyperlinked web pages44
2.11Directed graph46
2.12Network graph for the research organization47
2.13Network graph for the research organization50
2.14Network graph with the link between John and Fred removed51
2.15Centrality example graph67
3.1Network density chart70
3.2Star graph72
3.3Circle graph72
3.4Two different networks: (a) network A and (b) network B73
3.5The lattice network topology80
3.6The mesh pattern in a lattice network80
3.7Small world network topology81
3.8Core-periphery network of 100 nodes83
3.9Cellular network of 100 nodes84
3.10Scale-free network of 100 nodes84
3.11Scale-free network of 100 nodes85
4.1Power in basic network exchanges: (a) two-node network, (b) three-node network, and (c) four-node network112
4.2Eight possible signed triads118
4.3Two signed graphs: (a) unbalanced network and (b) balanced network120
4.4Pareto optimality space123
4.5Four stages of link formation124
5.1Example network135
5.2Hierarchical clustering chart produced in ORA for the example network of Figure 5.1138
5.3Block model chart produced in ORA for the example network of Figure 5.1138
5.4Block reduced chart produced in ORA for the example network of Figure 5.1139
5.5Example network for Newman grouping140
5.6Network with edge labels140
5.7Highest betweenness edge removed141
5.8Newman subgroup emerges141
5.9Iterate of Newman algorithm141
5.10Iterate of Newman algorithm142
5.11Newman groups142
5.12Empty hierarchical clustering diagram143
5.13Hierarchical clustering diagram begins to fill143
5.14Full hierarchical clustering diagram143
6.1Moore's chasm and Rogers' diffusion curve [after Moore, 1991; Rogers et al., 2005]158
6.2Actors involved in the diffusion process159
6.3Opinion leaders in a network160
7.1Multimode network of agents and resources174
7.2Source to target with matrix X175
7.3Source to target with matrix X and its transpose175
7.4Source to target calculation for bidirectional link176
7.5Two node types: agents and resources177
7.6Dot product of networks X and Y: agent to resource to agent
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