Thanks for the references, I really appreciate it!
On 04/24/2014 12:32 AM, Xiaohu Hu wrote:
> Hi all,
>
> I would like to determine the fractal dimension of the graph. I can
> assigned a "geometric distance" between each pair of vertices,
> therefore, I could also assign each edge a "length". One thing I could
> do is to somehow define a center and then count the the number of the
> nodes within "a circle" with increasing "radius". See how the number
> of the vertices scales with the increasing radius.
>
> I wonder Is there any other ways to calculate the fractal dimension
> using some features from any graph-tool functions? Can I estimate the
> fractal dimension from the adjacency matrix maybe? I would appreciate
> any advise.
There are no implementations of fractal dimension in graph-tool.
Note that this is an active area of research, and there is no
universally accepted definition of a generalized fractal dimension for graphs.
I think the most famous method is:
http://www.nature.com/nature/journal/v433/n7024/abs/nature03248.html
But there are several issues with this approach. See e.g. the following paper
for a well-founded criticism:
http://journals.aps.org/pre/pdf/10.1103/PhysRevE.84.066111
Best,
Tiago
--
Tiago de Paula Peixoto <tiago@skewed.de>
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