#' x171 graphs
#' List all possible x171 graphs based on given SIX nodes
#' @param x The vector representing nodes
#' @return A matrix listing edges of x171 graphs
#' @examples
#' x171(c(1:6))
x171 = function(x){
if(length(x) != 6){
stop("The number of nodes should be SIX!")
}
pair5 = combn(x, 5)
x171.mat = matrix(NA, ncol = 7)
for(i in 1:ncol(pair5)){
pair5.vec = sort(pair5[, i])
rst = x[! x%in% pair5.vec]
co.fork.mat = co.fork(pair5.vec)
tail.mat = as.matrix(findNode(1, co.fork.mat))
cnct.mat = apply(tail.mat, 1, function(y) deToIn(rst, y))
x171.temp = cbind(co.fork.mat, cnct.mat)
x171.mat = rbind(x171.mat, x171.temp)
}
return(x171.mat[-1, ])
}
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