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On certain properties of random Apollonian networks

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2012) 7323 LNCS 93-112
DOI: 10.1007/978-3-642-30541-2_8
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Abstract

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. © 2012 Springer-Verlag.

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Frieze, A., & Tsourakakis, C. E. (2012). On certain properties of random Apollonian networks. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7323 LNCS, pp. 93–112). https://doi.org/10.1007/978-3-642-30541-2_8

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