#' k4 graphs
#' List all possible k4 graphs based on given nodes >= 4
#' @param x The vector representing nodes
#' @return A matrix listing edges of k4 graphs
#' @examples
#' k4(c(1:6))
#' k4(1:4)
k4 = function(x){
if(length(x) < 4){
stop('The number of nodes should be larger than four!')
}
pair4 = as.matrix(combn(x, 4))
k4.mat = matrix(,, ncol = 6)
for(i in 1:ncol(pair4)){
pair4.vec = pair4[, i]
pair2.mat = combn(pair4.vec, 2)
k4.temp = paste(pair2.mat[1,], '-',pair2.mat[2,], sep = '')
k4.mat = rbind(k4.mat, k4.temp)
}
return(k4.mat[-1,])
}
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