I searched the archives and see some prior discussion regarding a problem
with the betweenness calculation, but it looks like those issues were
resolved. When calculating the betweenness centralization, the theoretical
max value appears to be incorrect causing nonsensical (negative) results.
Here's some R code and the results I get to reproduce it:
> library("igraph")
> g <- barabasi.game(5000)
> centralization.betweenness(g)$theoretical_max
[1] 345973414
> centralization.betweenness(g)$centralization
[1] 0.07282635
> g <- barabasi.game(10000)
> centralization.betweenness(g)$theoretical_max
[1] -1127329970
> centralization.betweenness(g)$centralization
[1] -0.02273176
And here's my session info:
> sessionInfo()
R version 2.15.2 (2012-10-26)
Platform: x86_64-w64-mingw32/x64 (64-bit)
locale:
[1] LC_COLLATE=English_United States.1252 LC_CTYPE=English_United
States.1252
[3] LC_MONETARY=English_United States.1252 LC_NUMERIC=C
[5] LC_TIME=English_United States.1252
attached base packages:
[1] stats graphics grDevices utils datasets methods base
other attached packages:
[1] igraph_0.6-3
loaded via a namespace (and not attached):
[1] tools_2.15.2
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