would definitely have me looking at the Spanning Tree solution.
Code it!
If you succeed in creating a undirected graph to represent those 600,000 nodes and the 600,000^2 weighted edges that connect them, using any of the Graph::* modules, please inform us.
Before you start running whichever algorithm you opt for, because, I'd be interested to know which module you choose, but as I likely have less than a century left on this world, I doubt I'll be around when it completes.
On the other hand, a projected 1 1/2 hours brute-force attempt is worth the effort of exploring.
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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