The electric potential of any knot has at least 2t(K)+2 critical points, where t(K) is the tunnel number of the knot.
Clark, The Heegaard genus of manifolds obtained by surgery on links and knots
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A lower bound on critical points of the electric potential of a knot
The electric potential of any knot has at least 2t(K)+2 critical points, where t(K) is the tunnel number of the knot.