Generalized Clustering Coefficients and Milgram Condition for q-th Degrees of Separation
Social and Information Networks
2010-10-21 v1 Physics and Society
Abstract
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.
Keywords
Cite
@article{arxiv.1010.4088,
title = {Generalized Clustering Coefficients and Milgram Condition for q-th Degrees of Separation},
author = {Norihito Toyota},
journal= {arXiv preprint arXiv:1010.4088},
year = {2010}
}
Comments
5 pages, 4 figures,Presented at 2010 SICE Annual Conference, Taipei,TAIWAN, August 18-21, 2010 August 18-21,2010