Abstract
The discovery of single key players in social networks is commonly done using some of the centrality measures employed in social network analysis. However, few methods, aimed at discovering sets of key players, have been proposed in the literature. This chapter presents a brief survey of such methods. The methods described include a variety of techniques ranging from those based on traditional centrality measures using optimizing criteria to those based on measuring the efficiency of a network. Additionally, we describe and evaluate a new approach to discover sets of key players based on entropy measures. Finally, this chapter presents a brief description of some applications of information theory within social network analysis.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Notes
- 1.
- 2.
A similar figure is used in [12].
- 3.
The complexity is calculated assuming that an adjacency matrix is used to represent the graph, other implementations using other more efficient data structure representations perform better.
References
Wasserman S, Faust K (1994) Social network analysis. Cambridge University Press, Cambridge.
Freeman LC (1996) Cliques, galois lattices, and the human structure of social groups. Social Networks 18(3):173–187
Falzon L (2000) Determining groups from the clique structure in large social networks. Social Networks 22(2):159–172
Friedkin NE (1991) Theoretical foundations for centrality measures. Am J Sociol 96(6):1478–1504
Borgatti SP, Everett MG (2006) A graph-theoretic framework for classifying centrality measures. Social Networks 28(4):466–484
Freeman LC (1977) A set of measures of centrality based on betweenness. Sociometry 40(1):35–41
Krebs V (2002) Uncloaking terrorist networks.First Monday 7(4). http://firstmonday.org/htbin/cgiwrap/bin/ojs/index.php/fm/article/view/941/863
Borgatti SP (2003) The key player problem. In: Breiger R, Carley K, Pattison P (eds) In dynamic social network modeling and analysis: workshop summary and papers. National Academy of Sciences Press, Washington, DC, pp 241–252
Scott J (2000) Social network analysis: a handbook. Sage, London
Borgatti SP (2004) Centrality and network flow. Social Networks 27(1):55–71
Borgatti SP, Carley K, Krackhardt D (2006) Robustness of centrality measures under conditions of imperfect data. Social Networks 28:124–1364
Borgatti SP (2006) Identifying sets of key players in a network. Comput Math Organ Theory 12(1):21–34
McCulloh IA, Carley KM (2008) Social network change detection. Technical report, Carnegie Mellon University
Shannon C (1948) A mathematical theory of communication. Bell Syst Tech J 17:379–423, 623–656
Tutzauer F (2006) Entropy as a measure of centrality in networks characterized by path-transfer flow. Social Networks 29(2):249–265
Shetty J, Adibi J (2005) Discovering important nodes through graph entropy the case of enron email database. In: LinkKDD ’05: Proceedings of the 3rd international workshop on Link discovery. ACM, New York
Latora V, Marchiorib M (2003) How the science of complex networks can help developing strategies against terrorism. Chaos Soliton Fract 20(1):69–75
Everett MG, Borgatti SP (2005) Extending centrality. In: Carrington P, Scott J, Wasserman S (eds) Models and methods in social network analysis. Cambridge University Press 28:57–76
Ballester C, Calvo-Armengol A, Zenou Y (2005) Who’s Who in Networks Wanted - The Key Player. CEPR Discussion Paper No. 5329. Centre for Economic Policy Research, London. Available at http://ssrn.com/abstract=560641
Doyle PG, Snell LT (1984) Random walks and electric networks. Mathematical Association of America, Washington, DC
Solé RV, Valverde S (2004) Information theory of complex networks: on evolution and architectural constraints. In: Lecture notes in physics, vol 650, pp 189–207. Springer, Berlin/Heidelberg
Kamada T, Kawai S (1989) An algorithm for drawing general undirected graphs. Inform Process Lett 31:7–15
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer-Verlag London Limited
About this chapter
Cite this chapter
Ortiz-Arroyo, D. (2010). Discovering Sets of Key Players in Social Networks. In: Abraham, A., Hassanien, AE., Sná¿el, V. (eds) Computational Social Network Analysis. Computer Communications and Networks. Springer, London. https://doi.org/10.1007/978-1-84882-229-0_2
Download citation
DOI: https://doi.org/10.1007/978-1-84882-229-0_2
Published:
Publisher Name: Springer, London
Print ISBN: 978-1-84882-228-3
Online ISBN: 978-1-84882-229-0
eBook Packages: Computer ScienceComputer Science (R0)