Graph zeta function and dimension of complex network

被引：24

作者：

Shanker, O. ^{[1
]}

机构：

[1] Bitfone Corp, Laguna Niguel, CA 92677 USA

来源：

MODERN PHYSICS LETTERS B | 2007年 / 21卷 / 11期

关键词：

complex networks; fractal dimension; graph zeta function; COMMUNITY STRUCTURE; PHASE-TRANSITION; MODEL;

D O I：

10.1142/S0217984907013146

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

In a recent paper we had defined the dimension of a complex network in terms of the scaling property of the volume. The question assumes significance because the dependence of system behavior on dimension is an important topic in statistical mechanics. Hence we consider the definition in more detail, and we propose a more widely applicable definition in this work. This definition has good mathematical properties, and it is based on the definition of a zeta function for complex networks.

引用

页码：639 / 644

页数：6

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