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## Re: [igraph] Scale-free random networks with different exponents and sam

 From: Eusebio Vargas Subject: Re: [igraph] Scale-free random networks with different exponents and same average degree Date: Sun, 11 Dec 2011 13:47:01 +0000

```Hi Gabor,

I was trying to find some information that might help me with igraph
(because I don't know R language and I haven't used igraph before),
and in http://igraph.sourceforge.net/igraphbook/igraphbook-random.html#id2533766
I found the following:

The original Barabási-Albert model uses linear preferential
attachment, ie. the connection probability is proportional to the
degree of the vertices. Nonlinear variations can also be studied with
igraph by supplying the power parameter:

> g1 <- barabasi.game(10000, power=0.5)
> g2 <- barabasi.game(10000, power=1)
> g3 <- barabasi.game(10000, poert=1.5)
> plot(degree.distribution(g3), xlab="degree",
ylab="frequency", log="xy", pch=3, col=3, type="b")
> points(degree.distribution(g2), pch=2, col=2, type="b")
> points(degree.distribution(g1), pch=1, col=1, type="b")
> legend(max(degree(g3)), 1, xjust=1, yjust=1,
c(0.5,1,1.5), pch=1:3, col=1:3, lty=1)

So I wonder if this might help me to generate the kind of random
graphs I'm trying to construct.

Best,
Eusebio

> Message: 6
> Date: Fri, 09 Dec 2011 12:59:50 +0000
> Subject: [igraph] Scale-free random networks with different exponents
>       and same average degree
> Content-Type: text/plain; charset=ISO-8859-1; format=flowed
>
> Dear all,
>
> I'm trying to generate connected scale-free random graphs with different
> exponents (-1, -1.5, -2, -2.5, -3) and the same average degree (<k>= 8
> and 12)... is there any function in i-graph that can do the work? (or
> may be modified to achieve the goal)...
>
> Thanks for any possible help or hint.
>
> Best,
> Eusebio
>
>
>
> Message: 10
> Date: Fri, 9 Dec 2011 10:35:20 -0500
> To: Help for igraph users <address@hidden>
> Subject: Re: [igraph] Scale-free random networks with different
>       exponents and same average degree
> Message-ID:
> Content-Type: text/plain; charset=ISO-8859-1
>
> Hi,
>
> the simplest is probably if you generate your degree sequence the way
> you want it (e.g. with sample() in R) and then call
> degree.sequence.game() to create the graph itself.
>
> Best,
> Gabor
>
> On Fri, Dec 9, 2011 at 7:59 AM, Eusebio Vargas <address@hidden> wrote:
>> Dear all,
>>
>> I'm trying to generate connected scale-free random graphs with different
>> exponents (-1, -1.5, -2, -2.5, -3) and the same average degree (<k>= 8 and
>> 12)... is there any function in i-graph that can do the work? (or may be
>> modified to achieve the goal)...
>>
>> Thanks for any possible help or hint.
>>
>> Best,
>> Eusebio
>>
>> _______________________________________________
>> igraph-help mailing list
>> https://lists.nongnu.org/mailman/listinfo/igraph-help
>
>
>
> --
> Gabor Csardi <address@hidden>? ?? MTA KFKI RMKI
>
>
>
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