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Resistance and Security Index of Networks: Structural Information Perspective of Network Security

Recently, Li and Pan defined the metric of the K-dimensional structure entropy of a structured noisy dataset G to be the information that controls the formation of the K-dimensional structure [Image: see text] of G that is evolved by the rules, order and laws of G, excluding the random variations th...

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Autores principales: Li, Angsheng, Hu, Qifu, Liu, Jun, Pan, Yicheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group 2016
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4891726/
https://www.ncbi.nlm.nih.gov/pubmed/27255783
http://dx.doi.org/10.1038/srep26810
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author Li, Angsheng
Hu, Qifu
Liu, Jun
Pan, Yicheng
author_facet Li, Angsheng
Hu, Qifu
Liu, Jun
Pan, Yicheng
author_sort Li, Angsheng
collection PubMed
description Recently, Li and Pan defined the metric of the K-dimensional structure entropy of a structured noisy dataset G to be the information that controls the formation of the K-dimensional structure [Image: see text] of G that is evolved by the rules, order and laws of G, excluding the random variations that occur in G. Here, we propose the notion of resistance of networks based on the one- and two-dimensional structural information of graphs. Given a graph G, we define the resistance of G, written [Image: see text], as the greatest overall number of bits required to determine the code of the module that is accessible via random walks with stationary distribution in G, from which the random walks cannot escape. We show that the resistance of networks follows the resistance law of networks, that is, for a network G, the resistance of G is [Image: see text], where [Image: see text] and [Image: see text] are the one- and two-dimensional structure entropies of G, respectively. Based on the resistance law, we define the security index of a network G to be the normalised resistance of G, that is, [Image: see text]. We show that the resistance and security index are both well-defined measures for the security of the networks.
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spelling pubmed-48917262016-06-10 Resistance and Security Index of Networks: Structural Information Perspective of Network Security Li, Angsheng Hu, Qifu Liu, Jun Pan, Yicheng Sci Rep Article Recently, Li and Pan defined the metric of the K-dimensional structure entropy of a structured noisy dataset G to be the information that controls the formation of the K-dimensional structure [Image: see text] of G that is evolved by the rules, order and laws of G, excluding the random variations that occur in G. Here, we propose the notion of resistance of networks based on the one- and two-dimensional structural information of graphs. Given a graph G, we define the resistance of G, written [Image: see text], as the greatest overall number of bits required to determine the code of the module that is accessible via random walks with stationary distribution in G, from which the random walks cannot escape. We show that the resistance of networks follows the resistance law of networks, that is, for a network G, the resistance of G is [Image: see text], where [Image: see text] and [Image: see text] are the one- and two-dimensional structure entropies of G, respectively. Based on the resistance law, we define the security index of a network G to be the normalised resistance of G, that is, [Image: see text]. We show that the resistance and security index are both well-defined measures for the security of the networks. Nature Publishing Group 2016-06-03 /pmc/articles/PMC4891726/ /pubmed/27255783 http://dx.doi.org/10.1038/srep26810 Text en Copyright © 2016, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
spellingShingle Article
Li, Angsheng
Hu, Qifu
Liu, Jun
Pan, Yicheng
Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title_full Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title_fullStr Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title_full_unstemmed Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title_short Resistance and Security Index of Networks: Structural Information Perspective of Network Security
title_sort resistance and security index of networks: structural information perspective of network security
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4891726/
https://www.ncbi.nlm.nih.gov/pubmed/27255783
http://dx.doi.org/10.1038/srep26810
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