#' k14 graphs
#' List all possible k14 graphs based on given FIVE nodes
#' @param x The vector representing nodes
#' @return A matrix listing edges of k14 graphs
#' @examples
#' k14(c(1:5))
k14 = function(x){
mtx = matrix(NA, ncol = 4)
if(length(x) !=5 ){
stop("The number of nodes should be FIVE!")
}else{
for(i in 1:length(x)){ # pick one node as the "hub", which connect to the rest
temp_hub = x[i]
temp_rest = x[-i]
temp_edge = c(deToIn(temp_hub, temp_rest[1]), deToIn(temp_hub, temp_rest[2]), deToIn(temp_hub, temp_rest[3]), deToIn(temp_hub, temp_rest[4]))
mtx = rbind(mtx, temp_edge)
}
return(mtx[-1, ])
}
}
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