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Presented in a comprehensive manner, this book provides a comprehensive foundation in algebraic approaches for the analysis of different types of social networks such as multiple, signed, and affiliation networks. The study of such configurations corresponds to the structural analysis within the social sciences, and the methods applied for the analysis are in the areas of abstract algebra, combinatorics, and graph theory. Current research in social networks has moved toward the examination of more realistic but also more complex social relations by which agents or actors are connected in multiple ways. Addressing this trend, this book offers hands-on training of the algebraic procedures presented along with the computer package multiplex, written by the book's author specifically to perform analyses of multiple social networks. An introductory section on both complex networks and for R will feature, however the subjects themselves correspond to advanced courses on social network analysis with the specialization on algebraic models and methods.

Algebraic Analysis of Social Networks: Models, Methods and Applications Using R

List of Contributors xv

1 Introduction 1

Patrick Doreian, Vladimir Batagelj, and Anuska Ferligoj

2 Bibliometric Analyses of the Network Clustering Literature 11

Vladimir Batagelj, Anuska Ferligoj, and Patrick Doreian

3 Clustering Approaches to Networks 65

Vladimir Batagelj

4 Different Approaches to Community Detection 105

Martin Rosvall, Jean-Charles Delvenne, Michael T. Schaub,

and Renaud Lambiotte

5 Label Propagation for Clustering 121

Lovro Subelj

6 Blockmodeling of Valued Networks 151

Carl Nordlund and Ales ?iberna

7 Treating Missing Network Data Before Partitioning 189

Anja ?nidarsic, Patrick Doreian, and Anuska Ferligoj Ç

8 Partitioning Signed Networks 225

Vincent Traag, Patrick Doreian, and Andrej Mrvar

9 Partitioning Multimode Networks 251

Martin G Everett and Stephen P Borgatti

10 Blockmodeling Linked Networks 267

Ales ?iberna

11 Bayesian Stochastic Blockmodeling 289

Tiago P. Peixoto

12 Structured Networks and Coarse-Grained Descriptions: A Dynamical

Perspective 333

Michael T. Schaub, Jean-Charles Delvenne, Renaud Lambiotte,

and Mauricio Barahona

13 Scientific Co-Authorship Networks 363

Marjan Cugmas, Anuska Ferligoj, and Luka Kronegger

14 Conclusions and Directions for Future Work 389

Patrick Doreian, Anuska Ferligoj, and Vladimir Batagelj

Topic Index 399 Person Index 407