Local structure of minimal networks in A. D. Alexandrov spaces

Author:

Zavalnyuk E. A.

Publisher

Allerton Press

Subject

General Mathematics

Reference10 articles.

1. E. N. Gilbert and H. O. Pollak, “Steiner Minimal Trees,” SIAM J. Appl. Math. 16, 1 (1968).

2. A. O. Ivanov and A. A. Tuzhilin “Geometry of Minimal Networks and the One-Dimensional Plateau Problem,” Uspekhi Matem. Nauk 47(2), 53 (1992) [Russian Math. Surveys 47 (2), 59 (1992)].

3. A. O. Ivanov and A. A. Tuzhilin, “Branching Geodesics in Normed Spaces,” Izvestiya Russ. Akad. Nauk, Ser. Matem. 66(5), 33 (2002) [Izvestiya: Math. 66 (5), 905 ( 2002)].

4. A. O. Ivanov, Hong Van Le, and A. A. Tuzhilin, “Planar Manhattan Locally Minimal and Critical Networks,” Zapiski Nauch. Seminarov LOMI 279, 111, (2001) [J. Math. Sci. (N.Y.) 119 (1), 55 (2004)].

5. D. P. Il’yutko, “Branching Extremals of the Functional of λ-Normed Length,” Matem. Sborn. 197(5), 75 (2006) [Sbornik: Math. 197 (5), 705 (2006)].

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