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[igraph] Degree-preserving rewiring of a large graph


From: Salvatore Loguercio
Subject: [igraph] Degree-preserving rewiring of a large graph
Date: Fri, 28 Mar 2014 11:01:19 -0700
User-agent: Mozilla/5.0 (Windows NT 6.1; WOW64; rv:24.0) Gecko/20100101 Thunderbird/24.4.0

Hi,

I am using igraph in R, and need a clarification about the rewire() function. The parameter niter is the number of times the algorithm will choose two arbitrary edges and shuffle them? So niter=10 would randomly shuffle only 10 pairs of edges?

I am working with a graph of ~150K edges - if my understanding of niter is correct, how many iterations would be recommended to obtain a reasonably rewired graph? I guess 150K iterations would take a while to compute.

My current problem is to compute the probability of observing each particular edge in a random graph with the same degree sequence. I was thinking of estimating this probability by the percentage of simulations in which an edge was observed.
Your suggestions would be really appreciated.

Thanks,
Sal



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