<abstract xmlns="http://www.w3.org/1999/xhtml"><p>For a collection of infinite loaded graphs, random perturbations of special type are considered. It is shown that some known classes of these graphs are stable with respect to small random perturbations of this type, while the rest are not.</p></abstract>

For a collection of infinite loaded graphs, random perturbations of special type are considered. It is shown that some known classes of these graphs are stable with respect to small random perturbations of this type, while the rest are not.

On classes of infinite loaded graphs with randomly deleted edges

Kharkevich Institute for Information Transmission Problems of the Russian Academy of Sciences

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"On classes of infinite loaded graphs with randomly deleted edges"}

For a collection of infinite loaded graphs, random perturbations of special type are considered. It is shown that some known classes of these graphs are stable...

On classes of infinite loaded graphs with randomly deleted edges

Published Online: Nov 13, 2020

Page range: 257 - 260

Received: Jan 15, 2020

Accepted: Mar 19, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00048

Keywords
directed graph, infinite loaded graph, mixing transformation, classification of loaded graphs, random perturbation of loaded graph

© 2020 B.M. Gurevich, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

On classes of infinite loaded graphs with randomly deleted edges

Published Online: Nov 13, 2020

Page range: 257 - 260

Received: Jan 15, 2020

Accepted: Mar 19, 2020

DOI: https://doi.org/10.2478/amns.2020.2.00048

Keywordsdirected graph, infinite loaded graph, mixing transformation, classification of loaded graphs, random perturbation of loaded graph

© 2020 B.M. Gurevich, published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
directed graph, infinite loaded graph, mixing transformation, classification of loaded graphs, random perturbation of loaded graph