Playing with Small Natural Numbers Network

[networks]

Since my late interests have been related to networks, I've started a pet project focusing on natural numbers network. I wanted to share my early explorations with this community since you have the proper background to interpret the results. I chose this network exactly because compared to real-world networks that are in my focus during the daytime, numbers network has been analysed for centuries and I hope that new ideas will emerge from this interaction. I acknowledge that for given topic, using number theory would be more appropriate, but hopefully you will find something interesting in the results. Please note that I do not have background in number theory.

Since the report is rather long and includes diagrams, I'm posting a link to my blogpost. You can expect to find there analysis of the common properties of networks.
http://www.ideavoid.com/blog/2010/10/playing-with-small-natural-num.html

Looking forward for your feedback.

 

[Raphie]

Hi Networks,

Can I take it that you are familiar with the work of Barabasi as well as Strogatz and Watts? While I might be the wrong guy to give you the manner of feedback you are looking for, if only because I have similar interests as you and also have no formal number theory training, what I can tell you is that there are others out there thinking in similar manner as you are. By way of example, the long term project I am working on?

"Organic Symmetry: Explorations in Linking Lattices and Matrices to the Unification of Social & Physical Spaces"
(title provisional)

I'll try to take a closer look at your report at some point in the near future.RaphieSome suggested general reading if you haven't already read these books:

Consilience - E.O Wilson
Nexus - Mark Buchanan
Critical Mass - Philip Ball
Linked - Albert Laszlo Barabasi
The Music of the Primes - Marcus du Sautoy
Why Beauty Is Truth: A History of Symmetry- Ian Stewart

Also...

Gut Feelings - Gerd Gigerenzer
The Singularity is Near - Ray Kurzweil
Here Comes Everybody - Clay Shirky

 

[CRGreathouse]

Raphie -- I have some comments on this at
http://mymathforum.com/viewtopic.php?f=40&t=16456
that may interest you.

 

[networks]

Thanks Raphie, I've read only some of the general reading you suggested. Looking forward for your feedback - my daily work is related to global social networks.

CRG, as for your comment on the choice of the generated network in mymathforum - since it was based on intuition, I'll need to take a moment to revisit that part.