Weijia,

if you only need degree centralization, Gabor suggests me those lines of code and they work great:

## undirected graph
centralization<-(sum(max(degree(g))-degree(g)))/(vcount(g)-1)/ (vcount(g)-2

## directed graph
centralization<-(sum(max(degree(g))-degree(g)))/(2*vcount(g)-1)/ (vcount(g)-2

hope it helps,
Simone


Il giorno 30/nov/08, alle ore 17:05, Gábor Csárdi ha scritto:

Weijia, centralization was not included in igraph, because really, it
takes only writing a one line function to do it. But it is on our TODO
list and will be included soon.

E.g. for degree see the thread that starts here:
http://lists.gnu.org/archive/html/igraph-help/2008-11/msg00064.html

You can do it similarly for other measures, but first you need to find
out which structure is the most centralized for a given measure. E.g.
for degree it is the star graph, but not for eigenvector centrality.
Probably this is written in the classic Wasserman-Faust book.

Best,
Gabor

On Sun, Nov 30, 2008 at 1:37 PM, Weijia You <[EMAIL PROTECTED]> wrote:
Hi all,

Is there anyone who ever used igraph to calculate the index of
"centralization" ?
I tried my best but can't find it in igraph.

The brief introduction to "centralization" can be found here , and I think it's an important index for measuring the centrality on the aggregated
level.(http://faculty.ucr.edu/~hanneman/nettext/C10_Centrality.html)

Thank you for any comments and suggestions.

Best wishes!

Weijia

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Gabor Csardi <[EMAIL PROTECTED]>     UNIL DGM

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