library(igraph)
V1 <- c("A", "A","B","C","D","E")
V2 <- c("A", "B","C","D","E","A")
df <- data.frame(V1, V2)
dup.graph <- dup.nodes.from.data.frame(df)
print(betweenness.with.duplicated.nodes(dup.graph))
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