Geodesic
Minimal binary trees with regular boundary: the~case of sceletons with four ends
Sbornik. Mathematics, Tome 187 (1996) no. 4, pp. 581-622

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This work continues an investigation of locally minimal binary trees spanning the vertices of regular polygons. The technique developed has led to essential progress in the solution of this problem. 
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A. A. Tuzhilin. Minimal binary trees with regular boundary: the~case of sceletons with four ends. Sbornik. Mathematics, Tome 187 (1996) no. 4, pp. 581-622. http://geodesic.mathdoc.fr/item/SM_1996_187_4_a3/