Generalized Clustering Coefficients and Milgram Condition for q-th Degrees of Separation

Details Generalized Clustering Coefficients and Milgram Condition for q-th Degrees of Separation Generalized Clustering Coefficients and Milgram Condition for q-th Degrees of Separation

2010-10-20

arxiv.org/abs/1010.4088v1

Computer Science

Social and Information Networks

5 pages, 4 figures,Presented at 2010 SICE Annual Conference, Taipei,TAIWAN, August 18-21, 2010 August 18-21,2010

Scientific paper

We introduce a series of generalized clustering coefficients based on String formalism given by Aoyama, using adjacent matrix in networks. We numerically evaluate Milgram condition proposed in order to explore q-th degrees of separation in scale free networks and small world networks. We find that scale free network with exponent 3 just shows 6-degrees of separation. Moreover we find some relations between separation numbers and generalized clustering coefficient in both networks.

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