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Re: [igraph] about triangle transitivity


From: Gábor Csárdi
Subject: Re: [igraph] about triangle transitivity
Date: Thu, 12 Jan 2012 09:26:50 -0500

Yes, although matrix multiplications are expensive. The initial matrix
is probably sparse, so that is fine, but then it gets denser (quickly
if the network is small-world). So this would work only for small
graphs.

G.

On Thu, Jan 12, 2012 at 9:23 AM, Moses Boudourides
<address@hidden> wrote:
> Well, another option would be to use the formulas for the powers of
> the adjacency matrix, although it might involve some work to derive
> the corresponding expressions for 5-cycles and higher. I'm not sure,
> this might have been already done in graph theory. If I was attempting
> to do it, I would start from counting redundancies as in the
> fundamental paper of Harary & Ross (Psychometrica, 1952).
>
> --Moses
>
> On Thu, Jan 12, 2012 at 4:00 PM, Gábor Csárdi <address@hidden> wrote:
>> Hi,
>>
>> graph.motifs() (in R) supports motifs of size 3 and 4 currently. There
>> is not much more code needed to support larger motifs, but these are
>> not implemented yet.
>>
>> If you are looking for a specific motif, then you can also use the
>> graph.count.subisomorphisms.vf2() function.
>>
>> G.
>>
>> On Thu, Jan 12, 2012 at 4:53 AM, gunce orman <address@hidden> wrote:
>>> Hello,
>>>
>>> Transitivity only measures the number of triangles in a network.  But there
>>> are other short cycles (e.g., 4-cycles) which are common in networks. Are we
>>> able to calculate those types of 4- and more cycles as well as counting
>>> triangles in igraph.
>>>
>>> Thank you
>>>
>>> _______________________________________________
>>> igraph-help mailing list
>>> address@hidden
>>> https://lists.nongnu.org/mailman/listinfo/igraph-help
>>>
>>
>>
>>
>> --
>> Gabor Csardi <address@hidden>     MTA KFKI RMKI
>>
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>
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-- 
Gabor Csardi <address@hidden>     MTA KFKI RMKI



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