Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 48-51
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Bifurcation diagrams for topologies of Steiner minimal trees and minimal fillings for nonconvex four-pointed boundaries are constructed. Using this issue, the four-pointed Steiner subratio of the Euclidean plane is recieved. All configurations for which it is obtained are found.
@article{VMUMM_2016_2_a8,
author = {E. I. Stepanova},
title = {Bifurcations of {Steiner} minimal trees and minimal fillings for non-convex four-point boundaries and {Steiner} subratio for the {Euclidean} plane},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {48--51},
publisher = {mathdoc},
number = {2},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a8/}
}
TY - JOUR AU - E. I. Stepanova TI - Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane JO - Vestnik Moskovskogo universiteta. Matematika, mehanika PY - 2016 SP - 48 EP - 51 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a8/ LA - ru ID - VMUMM_2016_2_a8 ER -
%0 Journal Article %A E. I. Stepanova %T Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane %J Vestnik Moskovskogo universiteta. Matematika, mehanika %D 2016 %P 48-51 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a8/ %G ru %F VMUMM_2016_2_a8
E. I. Stepanova. Bifurcations of Steiner minimal trees and minimal fillings for non-convex four-point boundaries and Steiner subratio for the Euclidean plane. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2016), pp. 48-51. http://geodesic.mathdoc.fr/item/VMUMM_2016_2_a8/