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Jun 6, 2021 at 18:14 vote accept José
Jun 6, 2021 at 18:14 comment added José I've skimmed the paper you linked, and in an algorithm to find a path to the floor of a volcano he does use finding the roots of the polynomial $\Phi_l(j,X)$ to get the neighbors of a vertex. He does not give an algorithm to construct a full volcano, but if he builds paths on the graph like this, then his approach might be similar.
Jun 6, 2021 at 17:32 history answered Joe Silverman CC BY-SA 4.0