Probabilistic properties of topologies of finite metric spaces' minimal fillings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 181-196
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In this work, we provide a way to introduce a probability measure on the space of minimal fillings of finite additive metric spaces as well as an algorithm for its computation. The values of probability, got from the analytical solution, coincide with the computer simulation for the computed cases. Also the built technique makes possible to find the asymptotic of the ratio for families of graph structures.
@article{FPM_2013_18_2_a14,
author = {V. N. Salnikov},
title = {Probabilistic properties of topologies of finite metric spaces' minimal fillings},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {181--196},
publisher = {mathdoc},
volume = {18},
number = {2},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a14/}
}
TY - JOUR AU - V. N. Salnikov TI - Probabilistic properties of topologies of finite metric spaces' minimal fillings JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2013 SP - 181 EP - 196 VL - 18 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a14/ LA - ru ID - FPM_2013_18_2_a14 ER -
V. N. Salnikov. Probabilistic properties of topologies of finite metric spaces' minimal fillings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 18 (2013) no. 2, pp. 181-196. http://geodesic.mathdoc.fr/item/FPM_2013_18_2_a14/