[igraph] Network prunning (triplets)

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Hi,

I am trying to find out how to do network pruning.

Lets say we have example network

g = graph.data.frame(data.frame(cbind(c('A','B','C','D','E'),c('C','A','B','B','A'),c(1,5,3,5,10))),directed=F)
E(g)$label = c(1,5,3,5,10)

I want to find triplets connected together in that network.
I guess this is 

cliques(g,min=3,max=3)

The goal is to find all triplets and remove edge with lowest value.

Does anyone know how to do it ?

Kind regards,
Mateusz