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Physical Sciences and Mathematics Commons

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Physics

Katherine J. Strandburg

Dynamics

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Full-Text Articles in Physical Sciences and Mathematics

Estimating The Dynamics Of Kernel-Based Evolving Networks, Gabor Csardi, Katherine J. Strandburg, Laszlo Zalanyi, Jan Tobochnik, Peter Erdi Jun 2006

Estimating The Dynamics Of Kernel-Based Evolving Networks, Gabor Csardi, Katherine J. Strandburg, Laszlo Zalanyi, Jan Tobochnik, Peter Erdi

Katherine J. Strandburg

In this paper we present the application of a novel methodology to scientific citation and collaboration networks. This methodology is designed for understanding the governing dynamics of evolving networks and relies on an attachment kernel, a scalar function of node properties, which stochastically drives the addition and deletion of vertices and edges. We illustrate how the kernel function of a given network can be extracted from the history of the network and discuss other possible applications.