#' Triadic Edges
#'
#' Identifies which edges in a network are part of a triad.
#'
#' @param g An igraph graph
#' @export
#' @examples
#' get.edge.network(g)
triadic.edges <- function(g) {
all.triads <- graph.get.subisomorphisms.vf2(g, graph.ring(3))
convert.nl.to.el <- function(x) {
matrix(c(x[1], x[2], x[1], x[3], x[2], x[3]), nrow=3, byrow=T)
}
triad.edges <- do.call('rbind', lapply(all.triads, 'convert.nl.to.el'))
triad.edges <- unique(paste(triad.edges[,1],triad.edges[,2],sep="-"))
g.el <- get.edgelist(g, names=F)
g.el <- paste(g.el[,1],g.el[,2],sep="-")
is.triadic <- g.el %in% triad.edges
return(is.triadic)
}
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