Probabilistic Properties of Topologies of Minimal Fillings of Finite Metric Spaces

V. Salnikov

doi:10.1007/s10958-014-2179-2

Probabilistic Properties of Topologies of Minimal Fillings of Finite Metric Spaces

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Résumé

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.

langue originale	Anglais
Pages (de - à)	873-883
Nombre de pages	11
journal	Journal of Mathematical Sciences (United States)
Volume	203
Numéro de publication	6
Les DOIs	https://doi.org/10.1007/s10958-014-2179-2
Etat de la publication	Publié - 1 janv. 2014
Modification externe	Oui

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10.1007/s10958-014-2179-2

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Probabilistic Properties of Topologies of Minimal Fillings of Finite Metric Spaces

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