On Thu, Apr 3, 2014 at 8:52 PM, [email protected] <[email protected]>wrote:

>  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.
>
Why?

> 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?
>
Yes, just generate your in-degree and out-degree sequences any way you
like, and then use degree.sequence.game.

Gabor


>
> best
> Xueming
>
> ------------------------------
>  [email protected]
>
>  *From:* Gábor Csárdi <[email protected]>
> *Date:* 2014-04-03 21:01
> *To:* Help for igraph users <[email protected]>
> *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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