In combinatorial mathematics, an Apollonian network is an undirected graph formed by a process of recursively subdividing a triangle into threeâ€¦Â (More)

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2014

2014

- Zhongzhi Zhang, Bin Wu, Francesc Comellas
- Discrete Applied Mathematics
- 2014

In this paper we find an exact analytical expression for the number of spanning trees in Apollonian networks. This parameter canâ€¦Â (More)

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2014

2014

- Ehsan Ebrahimzadeh, Linda Farczadi, +4 authors Jonathan Zung
- Random Struct. Algorithms
- 2014

We consider the following iterative construction of a random planar triangulation. Start with a triangle embedded in the planeâ€¦Â (More)

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2012

2012

- F. W. S. Lima, AndrÃ© A. Moreira, AscÃ¢nio D. AraÃºjo
- Physical review. E, Statistical, nonlinear, andâ€¦
- 2012

We investigate the majority-vote model with two states (-1,+1) and a noise parameter q on Apollonian networks. The main resultâ€¦Â (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 whichâ€¦Â (More)

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2010

2010

We propose a simple algorithm which produces high dimensional Apollonian networks with both small-world and scale-freeâ€¦Â (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. Inâ€¦Â (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 whichâ€¦Â (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 smallâ€¦Â (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 randomâ€¦Â (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 versionâ€¦Â (More)

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