Graph Zeta Function and Dimension of Complex Network
Abstract
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.
 Publication:

Modern Physics Letters B
 Pub Date:
 2007
 DOI:
 10.1142/S0217984907013146
 Bibcode:
 2007MPLB...21..639S
 Keywords:

 Complex networks;
 fractal dimension;
 graph zeta function