See for example, Statistical mechanics of networks, Physical Review E 70, 066117 (2004).
The architecture and topology of networks seem analogous to graphs.
Perhaps though the significant aspect of networks is not their architecture but their thermodynamics, how energy is distributed via networks.
Perhaps networks linkages are only means for optimizing energy distributions. If so, then network entropy (C log(n)) might be more fundamental (and much simpler to use) than the means by which network entropy is maximized. If that were so, then the network analogy to graphs might lead to a sub-optimal conceptual reference frame.
Dimensional capacity is arguably a better conceptual reference frame.
Your views?
Dear Robert Shour,
Indeed it is one of the techniques which can satisfy this objective. To prove this i suggest you to see links and attached files on topic.
https://www.hamilton.ie/systemsbiology/files/2006/graph_theory_and_networks_in_biology.pdf
https://academic.oup.com/bib/article/7/3/243/326999
http://www.scielo.edu.uy/scielo.php?script=sci_arttext&pid=S0717-50002016000200007
Article Graph theory methods: applications in brain networks
Article Connectome: Graph theory application in functional brain net...
Best regards
Mohamed-Mourad Lafifi
Thank you for the helpful link and article.
Best regards
It depends what you want to study regarding the network you have - of course. You need to provide info on what the graph represents, and what your aim is.
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