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Given a spring system:

enter image description here

where the total tension between the nodes should be minimized, it seems possible that a physics simulation of this graph does not arrive at the lowest energy state, getting stuck in a local minimum instead.

Is finding a positioning of nodes that achieves the lowest energy NP-hard?

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    $\begingroup$ The problem is still not clear to me. What is input of the problem? How positioning of the nodes change the tension between nodes? Please elaborate. $\endgroup$ Commented Jul 2, 2023 at 16:01

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