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### function finding all triplets in symmetric matrix X of the form A-B-C and A not connected with C
### X adjacency matrix (symmetric)
`.network2triplets` <-
function(X,target) {
### step 1: find all pairs (matrix in which the first element has a smaller number than the second)
### step 2: identify the triplets using matrix of pairs
if(sum(X)!=0){
cand_dim1<-which(X[,target]>0)
cand_dim2<-which(X[target,]>0)
cand<-union(cand_dim1,cand_dim2)
cand<-sort(cand)
ntrip<-(length(cand)-1)*length(cand)/2
if(ntrip>0){
trip<-matrix(0,ncol=3,nrow=ntrip)
trip[,2]<-rep(target,ntrip)
cnt<-1
to.rm<-NULL
for(i in 1:(length(cand)-1)){
for(j in (i+1):(length(cand))){
trip[cnt,1]<-cand[i]
trip[cnt,3]<-cand[j]
if(X[cand[i],cand[j]]>0){
to.rm<-c(to.rm,cnt)
}
cnt<-cnt+1
}
}
if(!is.null(to.rm)){
if(length(to.rm)==ntrip){
return(NULL)
}else{
return(trip[-to.rm,,drop=FALSE])
}
}else{
return(trip)
}
}else{
return(NULL)
}
}
}
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