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Dear networkers,
I've looked around but can't find anywhere the precise mathematical
definition of many network measures. The article
http://en.wikipedia.org/wiki/Social_network is missing many pieces of
information and skimps on the math, and no where else gives a complete
list.
I realize that this information is probably in references like "Social
Network Analysis: Methods and Applications" but I do not have access
to them (the toronto reference library doesn't have much on SNA, and I
can't get to the guelph university library anytime soon).
So, I'm looking for the actual formulas for these measures and
concepts (and any other measures I missed):
Betweenness
Closeness
Degree
Eigenvector Centrality
Clustering Coefficient - this is sort of like the standard deviation
of networks, right?
Cohesion
Constraint
Contagion
Density
Integration
Group degree centralisation
Radiality
Reach
Structural Equivalence
Structural Hole
Out of curiousity, I also wonder if there is a name for the measure
that counts a node's importance by calculating the importance of all
connected nodes? Or if there is any sort of measure that steps
outwards into the network, weighting nodes each further step out less?
Thank you for all the great resources that have already come from this list,
-Nick Guenther
Grade 12 Student
Ontario, Canda
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