Re: [igraph] degree correlation

[Moses Boudourides]

Thanks, Bernie. Of course, I know all this and I agree with the way
you're clarifying it. I was just surprised on how the question was
posed initially because it might have been my misunderstanding but
somehow I took the question as if the issue of correlation was posed
as a preamble to some sort of causal analysis (regression) involving
degrees. On another side, this period it just occurs that I'm working
on the well known Havel-Hakimi Theorem about graphic degree sequences
and so my mind was oriented towards the problem of determining
explicit (formal) restrictions on the possible values of vertex
degrees.

My best and a Happy New Year for you Bernie and everybody in the list,

--Moses


On Tue, Jan 3, 2012 at 12:47 PM, Bernie Hogan <address@hidden> wrote:
> Hi all,
>
> Just to chime in on this, and to reply to Moses, degree assortativity is not
> about a dependent or independent variable, but another way of assessing a
> form of degree centralisation in the graph. A negative degree assortativity
> suggests that high degree nodes link to low degree nodes, as is the case
> with routers on the web. Most human networks tend to have high positive
> assortativity, suggesting that "popular" people associate with other popular
> people. It is also indicative of a core-periphery structure. It is nice as a
> descriptive measure, but certainly insufficient in its own right.
>
> Take care,
> BERNiE
>
> Dr Bernie Hogan
> Research Fellow, Oxford Internet Institute
> University of Oxford
> http://www.oii.ox.ac.uk/people/hogan/
>
> On 23 Dec 2011, at 12:59, Claudio Martella wrote:
>
> Personally it is interesting when analyzing scale free graphs. For instance:
> are hubs connected to hubs?
>
> On Friday, December 23, 2011, Moses Boudourides
> <address@hidden> wrote:
>> OK. But then degree correlation is an independent variable with
>> linking the dependent variable, right? For a moment, I thought the
>> other way around. --M
>>
>> On Fri, Dec 23, 2011 at 1:26 PM, Minh Nguyen <address@hidden> wrote:
>>> Hi Moses,
>>>
>>> On Fri, Dec 23, 2011 at 10:22 PM, Moses Boudourides
>>> <address@hidden> wrote:
>>>> Excuse my intrusion in this exchange but could you please explain to
>>>> me why would one be interested in computing the correlation among
>>>> vertices? I'm sure there is a reason that I'm missing. Thanks.
>>>
>>> A reason is to work out the mixing patterns in a nework:
>>>
>>> http://en.wikipedia.org/wiki/Assortative_mixing
>>>
>>> --
>>> Regards,
>>> Minh Van Nguyen
>>
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>
> --
>    Claudio Martella
>   address@hidden
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