How do we check what type of chimera chains are possible?

[FatemeShirazi]

If we only allow 2-way chimera chains then we are limiting scalability. One way to solve this is allow more than 2-way chimera chains. Since all of these chains need to have pairwise intersections with at least 1 honest node, the question that arises is how to efficiently find such combinations of chains who fulfil this condition? This needs to be done 1 time a day (at the beginning of each epoch when validators change).

To me the easiest way is a greedy approach or to have it done offline and allow users to submit good combinations and reward them for it.

Another question is that after genesis, once, we do have already multiple active chimera chains, can we add or remove main chains (ways) to the same chimera chain without having to kill the old chain and create a new chain at the beginning of each epoch?