Chapter

Unifying Themes in Complex Systems

pp 90-97

Estimating the dynamics of kernel-based evolving networks

  • Gábor CsárdiAffiliated withCenter for Complex Systems StudiesDepartment of Biophysics, KFKI Research Institute for Particle and Nuclear Physics of the Hungarian Academy of Sciences
  • , Katherine StrandburgAffiliated withDePaul University — College of Law
  • , László ZalányiAffiliated withDepartment of Biophysics, KFKI Research Institute for Particle and Nuclear Physics of the Hungarian Academy of Sciences
  • , Jan TobochnikAffiliated withDepartment of Physics and Center for Complex Systems Studies, Kalamazoo College
  • , Péter érdiAffiliated withCenter for Complex Systems Studies

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Abstract

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, that 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.