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## Re: [igraph] Edge symmetry

 From: Tamas Nepusz Subject: Re: [igraph] Edge symmetry Date: Fri, 03 Feb 2012 16:11:16 +0100 User-agent: Mozilla/5.0 (X11; Linux x86_64; rv:9.0) Gecko/20111229 Thunderbird/9.0

```Hi,

The function you are looking for is called "reciprocity", although it is
defined a bit differently: it is "the proportion of all possible (A, B)
pairs which are reciprocal, provided there is at least one edge between A
and B". So, in your case, the reciprocity is 1/3, since there are three
connected pairs (1-2, 1-3 and 3-2), and one of them is reciprocal.

I think this definition can be converted into yours using simple math if you
know the number of edges.

--
T.

On 02/03/2012 04:07 PM, Carlos Eduardo wrote:
> Hi,
>
>
>
> Does Igraph have any command to calculate edge symmetry? For instance, to
> the edges bellow, [0] and [1] indicate an edge symmetry between vertex 1 and
> 2. So, considering all network edges, the mentioned edges indicate 50% of
> symmetry.
>
>
>
> [0] '1' -> '2'
>
> [1] '2' -> '1'
>
> [2] '1' -> '3'
>
> [3] '3' -> '2'
>
>
>
> Thanks in advance,
>
> Cadu
>
>
>
> _______________________________________________
> igraph-help mailing list
> address@hidden
> https://lists.nongnu.org/mailman/listinfo/igraph-help

```

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