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Network Biology, 2016, 6(1): 12-27
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Article

Centrality measures for immunization of weighted networks

Mohammad Khansari, Amin Kaveh, Zainabolhoda Heshmati, Maryam Ashkpoor Motlaq
University of Tehran, Faculty of New Sciences and Technologies, Amir Abad, North Kargar Street 14395-1374, Tehran, Iran

Received 25 September 2015;Accepted 27 October 2015;Published online 1 March 2016
IAEES

Abstract
Effective immunization of individual communities with minimal cost in vaccination has made great discussion surrounding the realm of complex networks. Meanwhile, proper realization of relationship among people in society and applying it to social networks brings about substantial improvements in immunization. Accordingly, weighted graph in which link weights represent the intensity and intimacy of relationships is an acceptable approach. In this work we employ weighted graphs and a wide variety of weighted centrality measures to distinguish important individuals in contagion of diseases. Furthermore, we propose new centrality measures for weighted networks. Our experimental results show that Radiality-Degree centrality is satisfying for weighted BA networks. Additionally, PageRank-Degree and Radiality-Degree centralities show more acceptable performance in targeted immunization of weighted networks.

Keywords centrality measure;epidemic threshold;largest connected components;targeted immunization;weighted graphs.

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