Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 21-25
Citer cet article
K. I. Oblakov. Non-existence of distinct codirected locally minimal trees on a plane. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2009), pp. 21-25. http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a4/
@article{VMUMM_2009_2_a4,
author = {K. I. Oblakov},
title = {Non-existence of distinct codirected locally minimal trees on a plane},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {21--25},
year = {2009},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a4/}
}
TY - JOUR
AU - K. I. Oblakov
TI - Non-existence of distinct codirected locally minimal trees on a plane
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 2009
SP - 21
EP - 25
IS - 2
UR - http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a4/
LA - ru
ID - VMUMM_2009_2_a4
ER -
%0 Journal Article
%A K. I. Oblakov
%T Non-existence of distinct codirected locally minimal trees on a plane
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2009
%P 21-25
%N 2
%U http://geodesic.mathdoc.fr/item/VMUMM_2009_2_a4/
%G ru
%F VMUMM_2009_2_a4
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.
