Geographical embedding of scale-free networks

被引:36
作者
ben-Avraham, D [1 ]
Rozenfeld, AF
Cohen, R
Havlin, S
机构
[1] Clarkson Univ, Dept Phys, Potsdam, NY 13699 USA
[2] Bar Ilan Univ, Minerva Ctr, IL-52900 Ramat Gan, Israel
[3] Bar Ilan Univ, Dept Phys, IL-52900 Ramat Gan, Israel
关键词
Internet; scale-free; networks; embedding; lattice;
D O I
10.1016/j.physa.2003.08.036
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
A method for embedding graphs in Euclidean space is suggested. The method connects nodes to their geographically closest neighbors and economizes on the total physical length of links. The topological and geometrical properties of scale-free networks embedded by the suggested algorithm are studied both analytically and through simulations. Our findings indicate dramatic changes in the embedded networks, in comparison to their off-lattice counterparts, and call into question the applicability of off-lattice scale-free models to realistic, everyday-life networks. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:107 / 116
页数:10
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