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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2009, Number 2, Pages 21–25
(Mi vmumm855)
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This article is cited in 2 scientific papers (total in 2 papers)
Mathematics
Non-existence of distinct codirected locally minimal trees on a plane
K. I. Oblakov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
Locally minimal graphs on a plane are considered. A simpler proof is given for the uniqueness of a globally minimal spanning tree on a plane in the general case. The proof presented here uses only local minimality of trees and is of independent interest.
Key words:
locally minimal tree.
Received: 23.05.2008
Citation:
K. I. Oblakov, “Non-existence of distinct codirected locally minimal trees on a plane”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2009, no. 2, 21–25
Linking options:
https://www.mathnet.ru/eng/vmumm855 https://www.mathnet.ru/eng/vmumm/y2009/i2/p21
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Statistics & downloads: |
Abstract page: | 95 | Full-text PDF : | 49 |
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