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I thought I could use the greedy homotopy basis to cut a manifold surface to a disk. For a donut this worked, but for a sphere I the edges returned by compute_greedy_homotopy_basis are empty. Is this expected behavior?

I attached the sphere as PLY file for your reference.

Sphere.zip

If it is possible to use compute greedy homotopy basis on a graph structure(which can be non-manifold) like Medial Surface？