Geodesic
The Steiner problem in the plane or in plane minimal nets
Sbornik. Mathematics, Tome 74 (1993) no. 2, pp. 555-582

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The famous Steiner problem in the Euclidean plane, which is that of investigating minimal nets spanning fixed finite subsets $M$ of points in the plane, is solved when $M$ is extremal, i.e. when $M$ lies on the boundary of its convex hull, and the nets are nondegenerate, i.e. have no vertices of degree 2. 
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     title = {The {Steiner} problem in the plane or in plane minimal nets},
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A. O. Ivanov; A. A. Tuzhilin. The Steiner problem in the plane or in plane minimal nets. Sbornik. Mathematics, Tome 74 (1993) no. 2, pp. 555-582. http://geodesic.mathdoc.fr/item/SM_1993_74_2_a15/