Apollonian network

In combinatorial mathematics, an Apollonian network is an undirected graph formed by a process of recursively subdividing a triangle into three… (More)
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Topic mentions per year

Topic mentions per year

2004-2018
024620042018

Papers overview

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2014
2014
In this paper we find an exact analytical expression for the number of spanning trees in Apollonian networks. This parameter can… (More)
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2014
2014
We consider the following iterative construction of a random planar triangulation. Start with a triangle embedded in the plane… (More)
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2012
2012
We investigate the majority-vote model with two states (-1,+1) and a noise parameter q on Apollonian networks. The main result… (More)
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2012
2012
In this work we analyze fundamental properties of Random Apollonian Networks [34,35], a popular random graph model which… (More)
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2010
2010
We propose a simple algorithm which produces high dimensional Apollonian networks with both small-world and scale-free… (More)
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2009
2009
Explicit determination of the mean first-passage time (MFPT) for trapping problem on complex media is a theoretical challenge. In… (More)
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2008
2008
In this paper, we study the distribution of distances in random Apollonian network structures (RANS), a family of graphs which… (More)
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2008
2008
We propose a simple algorithm which produces a new category of networks, high dimensional random Apollonian networks, with small… (More)
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2007
2007
In this paper, by both simulations and theoretical predictions we study two and three node (or degree) correlations in random… (More)
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2007
2007
Random Apollonian networks have been recently introduced for representing real graphs. In this paper we study a modified version… (More)
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