Results 131 to 139 of about 210 (139)
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Bose-Einstein condensation in the Apollonian complex network
Physical Review E, 2010We demonstrate that a topology-induced Bose-Einstein condensation (BEC) takes place in a complex network. As a model topology, we consider the deterministic Apollonian network which exhibits scale-free, small-world, and hierarchical properties. Within a tight-binding approach for noninteracting bosons, we report that the BEC transition temperature and ...
I N, de Oliveira +4 more
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Model of Apollonian Networks with Aging Mechanism
Systems Engineering - Theory & Practice, 2008Abstract In relation to the problem of Apollonian packing, the Apollonian network is introduced. It has interesting properties like being scale-free, small-world, space-filling, and may help to explain the properties of energy landscapes, and can be applied to porous media, road networks, electrical systems, and the layout of the planar network.
Zhao Narisa, Zhang Shu-chao
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Error and attack vulnerability of Apollonian networks
The Computer JournalAbstract This article examines the resilience of different Apollonian network (AN) types—deterministic, random, and evolutionary—to systematic attacks. ANs, members of the family of maximal planar graphs, possess unique properties such as high clustering coefficients, small-world properties, scale-free behavior, Euclidean and space ...
Farshad Safaei +1 more
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Enumeration of spanning trees on Apollonian networks
Journal of Statistical Mechanics: Theory and Experiment, 2013zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jingyuan Zhang, Weigang Sun
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Intersections of longest paths in Apollonian networks.
The three longest paths problem concerns whether every three longest paths in a connected graph intersect. This problem was first posed by Zamfirescu in 1991 and by Gallai at the 1995 British Combinatorial Conference. In this thesis, we investigate the problem for Apollonian networks.openaire +1 more source
Non-equilibrium BCS model on Apollonian networks
Physica A: Statistical Mechanics and Its Applications, 2021F W S Lima +2 more
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The number of connected sets in Apollonian networks
Applied Mathematics and ComputationZuwen Luo, Kexiang Xu
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Evolving Apollonian networks with small-world scale-free topologies
Physical Review E, 2006Zhongzhi Zhang +2 more
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