Geodesic
Planar locally minimal trees with boundaries on a~circle
Sbornik. Mathematics, Tome 215 (2024) no. 5, pp. 658-666

Voir la notice de l'article provenant de la source Math-Net.Ru

A planar tree has a convex minimal realization if it is planar equivalent to a locally minimal tree whose boundary is the set of vertices of a convex polygon. If this polygon is inscribed in a circle, then the tree is said to have a circular minimal realization. We construct a wide class of planar trees that have convex minimal realizations but do not have circular ones. Bibliography: 9 titles.
Keywords: full Steiner trees, Steiner minimal trees, Steiner problem, locally minimal trees, twisting number of a full planar Steiner tree. 
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     author = {I. N. Mikhailov},
     title = {Planar locally minimal trees with boundaries on a~circle},
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I. N. Mikhailov. Planar locally minimal trees with boundaries on a~circle. Sbornik. Mathematics, Tome 215 (2024) no. 5, pp. 658-666. http://geodesic.mathdoc.fr/item/SM_2024_215_5_a3/