Self-similar disk packings as model spatial scale-free networks

被引:123
作者
Doye, JPK [1 ]
Massen, CP [1 ]
机构
[1] Univ Cambridge, Chem Lab, Cambridge CB2 1EW, England
关键词
D O I
10.1103/PhysRevE.71.016128
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The network of contacts in space-filling disk packings, such as the Apollonian packing, is examined. These networks provide an interesting example of spatial scale-free networks, where the topology reflects the broad distribution of disk areas. A wide variety of topological and spatial properties of these systems is characterized. Their potential as models for networks of connected minima on energy landscapes is discussed.
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页数:12
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共 73 条
[1]   Statistical mechanics of complex networks [J].
Albert, R ;
Barabási, AL .
REVIEWS OF MODERN PHYSICS, 2002, 74 (01) :47-97
[2]   Internet -: Diameter of the World-Wide Web [J].
Albert, R ;
Jeong, H ;
Barabási, AL .
NATURE, 1999, 401 (6749) :130-131
[3]  
ANDRADE JS, CONDMAT0406295, P56121
[4]  
ARABASI AL, 2002, LINKED NEW SCI NETWO
[5]   Complex networks on hyperbolic surfaces [J].
Aste, T ;
Di Matteo, T ;
Hyde, ST .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2005, 346 (1-2) :20-26
[6]  
Baiesi M, 2004, PHYS REV E, V69, DOI 10.1103/PhysRevE.69.066106
[7]   Network biology:: Understanding the cell's functional organization [J].
Barabási, AL ;
Oltvai, ZN .
NATURE REVIEWS GENETICS, 2004, 5 (02) :101-U15
[8]   Emergence of scaling in random networks [J].
Barabási, AL ;
Albert, R .
SCIENCE, 1999, 286 (5439) :509-512
[9]   Deterministic scale-free networks [J].
Barabási, AL ;
Ravasz, E ;
Vicsek, T .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2001, 299 (3-4) :559-564
[10]   Space-filling bearings in three dimensions [J].
Baram, RM ;
Herrmann, HJ ;
Rivier, N .
PHYSICAL REVIEW LETTERS, 2004, 92 (04) :4