Hi

I am sorry that I did not put the question clear.

The correlation between in-degree and out-degree is different from the 
assortativity coefficient. 
The former one can be exsit in any type of directed graph but the latter one 
are only in scale-free graph.

When we regard the in-degree and out-degree of a vertex as two random variables 
j and k, 
if P(j, k) = P(j) * P(k), where P(j) means the probability of indegree=j, then 
there is no correlation between in-degree and out-degree.
if P(j, k) != P(j) * P(k), then in-degree and out-degree are correlated.

I want to generate ER graphs and scale-free graphs with the in-degree and 
out-degree correlated.
Is there any functions can do these?

best
Xueming




[email protected]

From: Gábor Csárdi
Date: 2014-04-03 21:01
To: Help for igraph users
Subject: Re: [igraph] How to Generate scale-free network with the vertex's 
in-degree and out-degree negatively correlated
Well, that's a little loosely defined. Maybe you want to sample networks while 
conditioning on the degree distributions (or degree sequences) and the 
assortativity coefficient. I am not sure how to do that, but there might be 
some papers about it. I would search for 'generate networks assortativity 
degree distribution': 
https://www.google.com/search?q=generate+networks+assortativity+degree+distribution


Gabor



On Thu, Apr 3, 2014 at 4:28 AM, [email protected] <[email protected]> wrote:

Hi,

I want to generate directed scale-free networks. 
The in-degrees and out-degrees of vertex are negatively correlated.
Which command could I use to generate such scale-free networks?

best
Xueming




[email protected]

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