Finding the most prominent group in complex networks

Issue title: Network Analysis in Natural Sciences and Engineering

Article type: Research Article

Authors: Puzis, Rami^; | Elovici, Yuval | Dolev, Shlomi

Affiliations: Deutsche Telekom Laboratories at Ben-Gurion University of the Negev, Israel | Deutsche Telekom Laboratories at Ben-Gurion University of the Negev, Israel. E-mail: elovici@inter.net.il; Tel.: 972 8 647 7551 | Department of Computer Science Ben-Gurion University of the Negev, Israel. E-mail: dolev@cs.bgu.ac.il; Tel.: 972 8 647 2715

Note: [] Corresponding author: Rami Puzis, Deutsche Telekom Laboratories at Ben-Gurion University of the Negev, Israel. E-mail: puzis@bgu.ac.il

Abstract: In many applications we are required to locate the most prominent group of vertices in a complex network. Group Betweenness Centrality can be used to evaluate the prominence of a group of vertices. Evaluating the Betweenness of every possible group in order to find the most prominent is not computationally feasible for large networks. In this paper we present two algorithms for finding the most prominent group. The first algorithm is based on heuristic search and the second is based on iterative greedy choice of vertices. The algorithms were evaluated on random and scale-free networks. Empirical evaluation suggests that the greedy algorithm results were negligibly below the optimal result. In addition, both algorithms performed better on scale-free networks: heuristic search was faster and the greedy algorithm produced more accurate results. The greedy algorithm was applied for optimizing deployment of intrusion detection devices on network service provider infrastructure.

Keywords: Complex networks, group betweenness centrality, heuristic search

Journal: AI Communications, vol. 20, no. 4, pp. 287-296, 2007