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Re: [wanted] automagic generation of graphs


From: Jon Wilson
Subject: Re: [wanted] automagic generation of graphs
Date: Fri, 20 Jul 2007 13:43:00 -0400
User-agent: Thunderbird 1.5.0.12 (X11/20070604)

Hi Marco,
I cobbled something together for you real quick. Attached. The function you want to call is make-graph. node-count is obvious*. edge-density is the probability that any given node has an edge to any other given node. Symbol names are read from /usr/share/dict/words.

* if you set edge-density low, then you are likely to get a graph with fewer nodes than node-count. This could be fixed, but not without either allowing for disconnect graphs (which it didn't look like you were interested in, nor did you give a notation for), or making it so that edge-density didn't actually mean edge-density. Generating a 50-node graph with edge-density 0.03125, I got graphs with node counts in the upper 30s.
HTH,
Jon



Marco Maggi wrote:
Ciao,

  I need to test some module that handles graphs and
constraint networks; I would like to automatically
generate test graphs, both cyclic and acyclic. I wonder
if someone has already written some code for it and
is willing to share it or to suggest ideas.

  It should be "enough" to build something like a
pseudo-random mega-scheme-function-call like:

   (a
     (b c (d e a))
     (f (c g) (h c))
     (g (e b)))

in which:

* all the elements in the lists are symbols;
* each symbol appears once and only once as
  first element in a list;
* each symbol appears at least once as first
  element in a list.

TIA






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