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This pdf for conference presentation uses Package Beamer which also needs two other packages installed: pgf and xcolor as explained on the web at http://latex-beamer.sourceforge.net. The original paper was submitted to Physical Review E. http://arxiv.org/abs/cond-mat/0508028 This presentation was given at the Applied Statistics 2005 International Conference, September 18-21, 2005, Ribno (Bled), Slovenia.

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ABSTRACT:
We investigate a simple generative model for network formation. The model is designed to describe the growth of networks of kinship, trading, corporate alliances, or autocatalytic chemical reactions, where feedback is an essential element of network growth. The underlying graphs in these situations grow via a competition between cycle formation and node addition. After choosing a given node, a search is made for another node at a suitable distance. If such a node is found, a link is added connecting this to the original node, and increasing the number of cycles in the graph; if such a node cannot be found, a new node is added, which is linked to the original node. We simulate this algorithm and find that we cannot reject the hypothesis that the empirical degree distribution is a q-exponential function, which has been used to model long-range processes in nonequilibrium statistical mechanics.

SUGGESTED CITATION:
Natasa Kejzar, Douglas R. White, Constantino Tsallis, J. Doyne Farmer, and Scott White, "A generative model for feedback networks - A Natasa Kejzar presentation, Applied Statistics conference, 2005" (September 18, 2005). Social Dynamics and Complexity. Working Papers Series: Paper wp2.
http://repositories.cdlib.org/imbs/socdyn/wp/wp2