Some Properties of Random Apollonian Networks
نویسندگان
چکیده
منابع مشابه
Some Properties of Random Apollonian Networks
In this work we analyze fundamental properties of Random Apollonian Networks [37,38], 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.
متن کاملOn Certain Properties of Random Apollonian Networks
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.
متن کاملParallel Random Apollonian Networks
We present and study in this paper a simple algorithm that produces so called growing Parallel Random Apollonian Networks (P-RAN) in any dimension d. Analytical derivations show that these networks still exhibit small-word and scalefree characteristics. To characterize further the structure of P-RAN, we introduce new parameters that we refer to as the parallel degree and the parallel coefficien...
متن کاملRamified Random Apollonian Networks
We present a simple algorithm that produces a so called growing Ramified Random Apollonian Networks (R-RAN) in any dimension d. Analytical derivations show that these networks still exhibit small-word and scale-free characteristics. To characterize further the structure of R-RAN, we introduce new parameters that we refer to as the parallel degree and the ramification coefficient, that determine...
متن کاملHigh dimensional random Apollonian networks
We propose a simple algorithm which produces a new category of networks, high dimensional random Apollonian networks, with small-world and scale-free characteristics. We derive analytical expressions for their degree distributions and clustering coefficients which are determined by the dimension of the network. The values obtained for these parameters are in good agreement with simulation resul...
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ژورنال
عنوان ژورنال: Internet Mathematics
سال: 2014
ISSN: 1542-7951,1944-9488
DOI: 10.1080/15427951.2013.796300