Probabilistic Properties of Topologies of Minimal Fillings of Finite Metric Spaces

Research output: Contribution to journalArticlepeer-review

Abstract

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, obtained from the analytical solution, coincide with the computer simulation for the computed cases. Also the developed technique makes it possible to find the asymptotic of the ratio for families of graph structures.

Original languageEnglish
Pages (from-to)873-883
Number of pages11
JournalJournal of Mathematical Sciences (United States)
Volume203
Issue number6
DOIs
Publication statusPublished - 1 Jan 2014
Externally publishedYes

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