How do I code a Hamiltonian Cycle in an undirected weighted graph?

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Is there a way that I can code a Hamiltonian Cycle? I have a list of nodes and its corresponding weighted edges. I wanted to find the shortest path from V1 which visits all nodes exactly once and goes back to the origin. However, I struggle to find any tutorials or examples for this problem. Also, does R2023b not support a command of "hamiltonian"? Please help. Thank you.

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Torsten
Torsten 2024-3-16
I didn't test it yet, but maybe this one from the File Exchange:

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