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The fact that the random networks are composed of many isolates is an
interesting fact in itself. If re-iterated many times, one could get the
likelihood that, given the number of nodes and links observed in the
real-world network, all nodes are connected in one giant cluster. If it is
unlikely (observed once or twice over 100-1000 re-iterations or whatever
level of significance one wants to choose) this tells us a lot about the
real-world network: it is most likely not based on a random attachment
mechanism.

best,
david


David Lusseau
Postdoctoral fellow

University of Aberdeen
Department of Zoology
Lighthouse Field Station
George St
Cromarty
Ross-shire IV11 8YJ
Scotland

Tel/Fax: 44 (0) 1381 600 548

Lighthouse Field Station (University of Aberdeen):
http://www.abdn.ac.uk/~nhi519/lighthse/index.hti

New Zealand Whale and Dolphin Trust:
http://nzwhaledolphintrust.tripod.com/home/

Marine Mammal Research Group (University of Otago):
http://www.otago.ac.nz/marinescience/mammals/home.htm

Fiordland Research (University of Otago)
http://www.otago.ac.nz/marinescience/fiords/home.htm

----- Original Message -----
From: "Vaughan" <[log in to unmask]>
To: <[log in to unmask]>
Sent: Tuesday, November 18, 2003 11:03 AM
Subject: Random network generation


> *****  To join INSNA, visit http://www.sfu.ca/~insna/  *****
>
> Hello everyone,
>
> I would like to generate a random network, with a similar number of ndoes
> and connection to the network I have created from field data, to compare
the
> distance and clustering co-efficient of each. Not unlike the the method in
> http://arxiv.org/pdf/cond-mat/0307439
>
> My network created from field data has no isolated nodes. However, when I
> ask Pajek to create a network with the same number of nodes and
connections
> I get plenty of isolates, which apparently will not make a valid
clustering
> co-efficient or distance comparison.
>
> Andrew Shipilov kindly suggested to my that it is possible to generate
> distance and clustering coefficients purely from knowing the number of
nodes
> and connections I wish to use, although I am having trouble tracking down
> this method.
>
> Can anyone suggest a way of either generating a random network with a
> specified number of nodes and connections that has no isolates or doing
the
> above calculation ?
>
> Many thanks,
> Vaughan Bell
>
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