Defining Dimension of a Complex Network
Abstract
An important question in statistical mechanics is the dependence of model behavior on the dimension of the system. In this paper, we discuss extending the definition of dimension from regular lattices to complex networks. We use the definition to study how the extensive property of the power law potential exponent depends on dimension.
- Publication:
-
Modern Physics Letters B
- Pub Date:
- 2007
- DOI:
- 10.1142/S0217984907012773
- Bibcode:
- 2007MPLB...21..321S
- Keywords:
-
- Complex networks;
- fractal dimension;
- long range potential