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[igraph] Small World Quotient for unipartite projections of bipartite ne


From: Ingrid van Prooijen
Subject: [igraph] Small World Quotient for unipartite projections of bipartite networks
Date: Wed, 8 May 2013 17:39:36 +1000

Hi,

I am working with a unipartite projection of a bipartite network. I need to calculate the Small World Quotient from the clustering coefficient (CC) and the average path length (PL) = 

 CC(actual network)/CC(random graph) divided by PL(actual network)/PL(random graph)

Unfortunately I cannot just generate a random network as this will cause an underestimation of the PL and overestimation of the CC when the actual network is compared to the random network (due to the fact that unipartite projections of bipartite networks give cliques whenever e.g. inventors worked on the same patent).

Is there someone with experience with calculating the Small World Quotient for unipartite projections of bipartite networks? I can't seem to work it out :(

Any suggestions are much appreciated. 

Cheers!




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