Thursday: still evolutionary graph theory

Publish Date: 
Thu, 03/31/2011 - 16:53

This is like the plot I made yesterday, but starting with all the vertices of high out degree rather than high in degree. It's supposed to drop vertically to the diagonal, and then go to either the lower left or upper right.

Figure:
ω0,1 vs. ω-1,0 in EGT simulation on a power-law directed network of 1000 vertices, starting with the mutant type on all vertices of out degree 8 or greater.

It doesn't quite do what I predicted: it doesn't go all the way to the diagonal before curving around to the upper right, which is the mutants-replace-the-resident-type endpoint. I ran that twice and it did about the same thing both times. More investigations to come.

While those run on my laptop here, I've mostly been working on coding up the rules for these figures for use on the wiki. Unfortunately, it's all on the experimental wiki on the cluster that we're not really using yet, and the cluster went offline for maintenance. So I have to finish that later.

Update: here's the low-out-degree one. I like it better.

Figure:
ω0,1 vs. ω-1,0 in EGT simulation on a power-law directed network of 1000 vertices, starting with the mutant type on all vertices of out degree 7 or less.

Update #2: And the low-in-degree one - also follows the prediction.

Figure:
ω0,1 vs. ω-1,0 in EGT simulation on a power-law directed network of 1000 vertices, starting with the mutant type on all vertices of in degree 7 or less.

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