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Center for Models of Life
Niels Bohr Institute
University of Copenhagen
Blegdamsvej 17
2100 Copenhagen
Mail:  cmolnbi.dk

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Hierarchical Networks

A common organizational principle is hierarchy. In terms of network topology this principle can mean different thing. Using the fact that most networks have very broad degree dsitributions we define a hierarchical network in terms of the relative positions of high degree nodes in networks. Thereby we obtain simple toplogical characterizations of network structure, which is related to the concept of correlation profiles and the concept of assortative networks.

Publications

Ala Trusina, Sergei Maslov, Petter Minnhagen, Kim Sneppen
Hierarchy and Anti-Hierarchy in Real and Scale Free networks
Phys. Rev. Lett. 92 (2004)
cond-mat/0308339

M. Rosvall, A. Gronlund, P. Minnhagen, K. Sneppen
Searchability of Networks
Phys. Rev. E 72 (2005)
cond-mat/0505400

Jacob Bock Axelsen, Sebastian Bernhardsson, Martin Rosvall, Kim Sneppen, Ala Trusina
Degree Landscapes in Scale-Free Networks
Phys. Rev. E 74 (2006)
physics/0512075