Estimation of Length of Node-to-Node Paths Distribution in the Global Network

The experiment aimed at finding a distribution of path lengths between nodes in the global network and an estimation of parameters of that distribution is described.In particular, the method of measurement of path length with traceroute utility of the GNU/Linux system and limitations on the selectio...

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Main Authors: Alexandra I. Kononova, Alexey V. Gorodilov
Format: Article
Language:English
Published: Yaroslavl State University 2020-03-01
Series:Моделирование и анализ информационных систем
Subjects:
Online Access:https://www.mais-journal.ru/jour/article/view/1284
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author Alexandra I. Kononova
Alexey V. Gorodilov
author_facet Alexandra I. Kononova
Alexey V. Gorodilov
author_sort Alexandra I. Kononova
collection DOAJ
description The experiment aimed at finding a distribution of path lengths between nodes in the global network and an estimation of parameters of that distribution is described.In particular, the method of measurement of path length with traceroute utility of the GNU/Linux system and limitations on the selection of nodes imposed by traceroute are described. e measurement results are provided and high values of skewness and kurtosis for all resulting distributions are noted. Simulation model of this experiment was developed to test the experiment validity in the determination of distribution parameters in the global network. This model is also described. It is shown that high values of skewness and kurtosis of the measured distributions are not the result of the measurement technique, therefore the global network could not be described by the Barabasi–Albert ´ model. Several most viable hypotheses explaining diffierences in skewness and kurtosis of experimentally obtained pathlength distribution estimations and values derived from the Barabasi–Albert model are listed. Results of diffierent hypotheses ´ simulations are provided. It is shown that the most fitting hypothesis is that definitive influence on skewness and kurtosis of path-length distribution estimations is caused by the quasi pre-fractal structure of the global network.
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spelling doaj-art-7328edb0c6a448809b75f99b29b47b322025-08-04T14:06:42ZengYaroslavl State UniversityМоделирование и анализ информационных систем1818-10152313-54172020-03-0127162110.18255/1818-1015-2020-1-6-21955Estimation of Length of Node-to-Node Paths Distribution in the Global NetworkAlexandra I. Kononova0Alexey V. Gorodilov1National Research University of Electronic TechnologyRusskaya Moda (Russian fashion)The experiment aimed at finding a distribution of path lengths between nodes in the global network and an estimation of parameters of that distribution is described.In particular, the method of measurement of path length with traceroute utility of the GNU/Linux system and limitations on the selection of nodes imposed by traceroute are described. e measurement results are provided and high values of skewness and kurtosis for all resulting distributions are noted. Simulation model of this experiment was developed to test the experiment validity in the determination of distribution parameters in the global network. This model is also described. It is shown that high values of skewness and kurtosis of the measured distributions are not the result of the measurement technique, therefore the global network could not be described by the Barabasi–Albert ´ model. Several most viable hypotheses explaining diffierences in skewness and kurtosis of experimentally obtained pathlength distribution estimations and values derived from the Barabasi–Albert model are listed. Results of diffierent hypotheses ´ simulations are provided. It is shown that the most fitting hypothesis is that definitive influence on skewness and kurtosis of path-length distribution estimations is caused by the quasi pre-fractal structure of the global network.https://www.mais-journal.ru/jour/article/view/1284global networkroutingnode-to-node distance distributionexperimentbaraba´si–albert model
spellingShingle Alexandra I. Kononova
Alexey V. Gorodilov
Estimation of Length of Node-to-Node Paths Distribution in the Global Network
Моделирование и анализ информационных систем
global network
routing
node-to-node distance distribution
experiment
baraba´si–albert model
title Estimation of Length of Node-to-Node Paths Distribution in the Global Network
title_full Estimation of Length of Node-to-Node Paths Distribution in the Global Network
title_fullStr Estimation of Length of Node-to-Node Paths Distribution in the Global Network
title_full_unstemmed Estimation of Length of Node-to-Node Paths Distribution in the Global Network
title_short Estimation of Length of Node-to-Node Paths Distribution in the Global Network
title_sort estimation of length of node to node paths distribution in the global network
topic global network
routing
node-to-node distance distribution
experiment
baraba´si–albert model
url https://www.mais-journal.ru/jour/article/view/1284
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