The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 157-165
The Steiner and Gromov–Steiner ratios and Steiner subratio are fundamental characteristics of metric spaces. In this work, an attempt is made to find these ratios for the space of compacts in Euclidean space with Hausdorff metric.
@article{FPM_2013_18_2_a12,
author = {Z. N. Ovsyannikov},
title = {The {Steiner} and {Gromov{\textendash}Steiner} ratios and {Steiner} subratio in the space of compacta in the {Euclidean} plane with {Hausdorff} distance},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {157--165},
year = {2013},
volume = {18},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a12/}
}
TY - JOUR AU - Z. N. Ovsyannikov TI - The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2013 SP - 157 EP - 165 VL - 18 IS - 2 UR - http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a12/ LA - ru ID - FPM_2013_18_2_a12 ER -
%0 Journal Article %A Z. N. Ovsyannikov %T The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance %J Fundamentalʹnaâ i prikladnaâ matematika %D 2013 %P 157-165 %V 18 %N 2 %U http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a12/ %G ru %F FPM_2013_18_2_a12
Z. N. Ovsyannikov. The Steiner and Gromov–Steiner ratios and Steiner subratio in the space of compacta in the Euclidean plane with Hausdorff distance. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 157-165. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a12/