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On Certain Properties of Random Apollonian Networks

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journal contribution
posted on 01.05.2012, 00:00 by Alan Frieze, Charalampos E. Tsourakakis

In this work we analyze fundamental properties of Random Apollonian Networks [34,35], a popular random graph model which generates planar graphs with power law properties. Specifically, we analyze (a) the degree distribution, (b) the k largest degrees, (c) the k largest eigenvalues and (d) the diameter, where k is a constant.

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Publisher Statement

The final publication is available at Springer via http://dx.doi.org/10.1007/978-3-642-30541-2_8

Date

01/05/2012

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