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The concept you're talking about is often called "structural equivalence".
Since I gather you have a copy of my book, you can read about it in
Section 7.12, although there are a number of excellent texts available on
social network analysis that also offer good discussions.
On 03/28/2011 07:43 AM, John McCreery wrote:
> ***** To join INSNA, visit http://www.insna.org ***** I am reading
> M.E.H.Newman's /Networks: An Introduction/ and have reached page 114
> where the author defined cocitation for directed networks: "The
> /cocitation/ of two vertices/ i/ and /j/ in a directed network is the
> number of vertices that have outgoing edges pointing to both /i/ and
> /j/." I am wondering if anyone has done research using an analogous
> measure for undirected networks.
> I wonder if we might learn something important about ties between teams
> if we were able to measure the number of vertices (= team members) with
> edges linking them to both /i/ and /j /even if /i/ and /j /are not
> linked to each other.
> I ask because, to me at least, an interesting problem in working with
> networks connecting individual members of teams is that teams, by
> definition, are cliques, which means that every member of a team is,
> ipso facto, linked to every other. But, at least in the advertising
> business from which my data come, team members to do always work with
> each other. An individual may belong to more than one team. Thus, at one
> extreme, a team may be composed of people who have never worked together
> before or, at the other extreme, people who always work together, with
> every possible variation in between. Being able to identify and measure
> what we might call /co-comember /connections might lead to interesting
> Any and all comments and suggestions are welcome.
> John McCreery
> The Word Works, Ltd., Yokohama, JAPAN
> Tel. +81-45-314-9324
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