Re: [igraph] how to generate a bipartite graph with specified degree distributions

[Yi Cao]

Hello Gabor,

      Now I get the degree sequence for each side vertice set of the bipartite graph. I want to use the function  igraph_degree_sequence_game to generate the bipartite graph.
First I store one degree sequence in the argument igraph_vector_t *out_deg and the other in igraph_vector_t *in_deg. In the description for argument "method", it says that the graph is created by drawing pairs of vertices from two boxes till it is empty. My question is that are these pairs of vertices picked randomly?  (or in other ways, like preferentially?)
Does this method generate all possible graphs with equal probility ?

Thank you so much.
Best regards,
Yi Cao

On Mon, May 9, 2011 at 10:25 PM, Gábor Csárdi <address@hidden> wrote:

Hi,

I think the simple naive method works in this case. You generate the
degrees from the desired distributions, and make sure that they are
plausible, i.e. the total degrees in both groups are the same.

Then you give "stubs" for each vertex, as many as their degree, and
simply connect the stubs uniformly randomly. This can be done by
simply permuting the stubs once.

I think this can be implemented in Python or R, very quickly, in a
couple of lines. I am fairly, (but not completely) sure that this
method generates all possible graphs, with equal probability, assuming
that the vertices are labeled.

Best,
Gabor

On Mon, May 9, 2011 at 4:00 PM, Yi Cao <address@hidden> wrote:
> Hello all,
>
>      Now I am trying to generate a bipartite graph with specified degree
> distribution. The degree distribution of one vertices set is function f(x)
> which is linear, the degree distribution of the other vertices set is
> function g(x) which is a piecewise function, including 3 parts. Now I want
> to create a graph with known number of vertices, edges between two vertices
> sets as well as the specified degree distribution as mentioned above. How
> can I implement this by using igraph library(preferred), or by using other
> package like NetworkX or else? Can anyone give me some suggestions about
> this?  Thank you in advanced.
>
> Best regards,
> Yi Cao
>

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--
Gabor Csardi <address@hidden>     MTA KFKI RMKI

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