#' 2k3 graphs
#' List all possible R graphs based on given SIX nodes
#' @param x The vector representing nodes
#' @return A matrix listing edges of 2k3 graphs
#' @examples
#' twoK3(c(1:6))
twoK3 = function(x){
if(length(x) != 6){
stop('The number of nodes should be SIX!')
}
x = sort(x)
pair3 = combn(x, 3)
twoK3 = matrix(, , ncol = 6)
for(i in 1: (ncol(pair3)/2)){
# left + right = x
left = pair3[, i]
c3.left = k3(left)
right = pair3[, 21 - i]
c3.right = k3(right)
twoK3 = rbind(twoK3, c(c3.left, c3.right))
}
return(twoK3[-1, ])
}
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