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Re: [igraph] about triangle transitivity


From: Moses Boudourides
Subject: Re: [igraph] about triangle transitivity
Date: Thu, 12 Jan 2012 16:28:33 +0200

Right.

--M

On Thu, Jan 12, 2012 at 4:26 PM, Gábor Csárdi <address@hidden> wrote:
> 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
>>>>
>>>> _______________________________________________
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>>>> address@hidden
>>>> https://lists.nongnu.org/mailman/listinfo/igraph-help
>>>>
>>>
>>>
>>>
>>> --
>>> Gabor Csardi <address@hidden>     MTA KFKI RMKI
>>>
>>> _______________________________________________
>>> igraph-help mailing list
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>>
>> _______________________________________________
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>
>
>
> --
> Gabor Csardi <address@hidden>     MTA KFKI RMKI
>
> _______________________________________________
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