#' 2K3+e graphs
#' List all possible 2K3+e graphs based on given SIX nodes
#' @param x The vector representing nodes
#' @return A matrix listing edges of 2K3+e graphs
#' @examples
#' twoK3_e(c(1:6))
twoK3_e = function(x){
if(length(x)!=6){
stop("The number of nodes should be SIX!")
}
twoK3.mat = twoK3(x)
pair3 = combn(x, 3)
cnct.vec = c()
for(i in 1: (ncol(pair3)/2)){
# left + right = x
left = pair3[, i]
right = pair3[, 21 - i]
# connect left and right
cnct.vec = c(cnct.vec, paste(left[1], '-', right, sep = ''), paste(left[2], '-', right, sep = ''), paste(left[3], '-', right, sep = ''))
}
twoK3.mat = matrix(rep(twoK3.mat, each = 9), ncol = ncol(twoK3.mat), byrow = F)
twoK3_e.mat = cbind(twoK3.mat, cnct.vec)
return(twoK3_e.mat)
}
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