[igraph] Question re local and global transitivity

[Vincent Matossian]

 Hi,

I am trying to understand why global transitivity isn't equal to the average of the local?

for example:

erg10<-random.graph.game(10,p=0.5)
is.connected(erg10)
##[1] TRUE
transitivity(erg10)
##[1] 0.5757576
mean(transitivity(erg10,type="local"))
##[1] 0.5204762


In theory, shouldn't the mean and the global yield the same result?

Please let me know, thanks!

Vincent