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Relaxation time in complex network

Published: 25 August 2020 Publication History

Abstract

New characteristics of nodes of network structures are proposed and researched in this work - the relaxation time of network and the individual relaxation time of node. The so-called decelerated iteration algorithms for HITS and PageRank are used to obtain the relaxation time.
The relaxation time of network and the individual relaxation time of node were tested on the example of a weighted directed network of characters in the novel«Les Miserables». It was found that a topology of a network affects a relaxation of nodes after their perturbation.
As a result of using relaxation time it was possible to identify the most important network components and rank them by the proposed characteristics.
The resulted ranking compared to the ranking by HITS, PageRank and degree of nodes shows the uniqueness of the proposed relaxation time of network and individual relaxation time of node.

References

[1]
M.E.J. Newman (2003). The structure and function of complex networks. SIAM Review, 45, 167--256.
[2]
A.A. Snarskii and D.V. Lande (2015). Modeling of complex networks: tutorial. K.: Engineering.
[3]
S.N. Dorogovtsev and J.F. Mendes, 2013 Evolution of networks: from biological networks to the Internet and WWW. Oxford University Press, Oxford, UK.
[4]
J.M. Kleinberg (1998). Authoritative sources in a hyperlinked environment. In Processing of ACM-SIAM Symposium on Discrete Algorithms, 46(5), 604--632.
[5]
S. Brin and L. Page (1998). The anatomy of a large-scale hypertextual web search engine. Computer networks and ISDN systems, 30(1-7), 107--117
[6]
A. Rajaraman and J. D. Ullman, 2011 Mining of massive datasets. Cambridge University Press, Cambridge.
[7]
A.N. Langville and C.D. Meyer, 2011 Google's PageRank and beyond: The science of search engine rankings. Princeton University Press, Princeton.
[8]
R. Christensen, 2012 Theory of viscoelasticity: an introduction. Elsevier.
[9]
Datasets, https://github.com/gephi/gephi/wiki/Datasets, last accessed 2020/06/14.
[10]
D.E. Knuth 1993, The Stanford GraphBase: A Platform for Combinatorial Computing. Addison-Wesley, Reading, MA.

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    cover image ACM Other conferences
    ARES '20: Proceedings of the 15th International Conference on Availability, Reliability and Security
    August 2020
    1073 pages
    ISBN:9781450388337
    DOI:10.1145/3407023
    • Program Chairs:
    • Melanie Volkamer,
    • Christian Wressnegger
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Association for Computing Machinery

    New York, NY, United States

    Publication History

    Published: 25 August 2020

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    Author Tags

    1. HITS
    2. PageRank
    3. complex network
    4. individual relaxation time of node
    5. perturbation of node scores
    6. relaxation time of network

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    • Research-article

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    • NATO SPS Project CyRADARS (Cyber Rapid Analysis for Defense Awareness of Real-time Situation)

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    ARES 2020

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    Overall Acceptance Rate 228 of 451 submissions, 51%

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    • (2023)House of Quality for Safe CitiesManagement, Technology, and Economic Growth in Smart and Sustainable Cities10.4018/979-8-3693-0373-3.ch006(97-110)Online publication date: 24-Oct-2023
    • (2023)INFORMATION TECHNOLOGY FOR DETERMINING THE POLITICAL DIRECTION OF INFORMATION SOURCES TO ENSURE THE INFORMATION SECURITY OF THE STATE DURING CRISIS SITUATIONSCybersecurity: Education, Science, Technique10.28925/2663-4023.2023.20.1421524:20(142-152)Online publication date: 2023
    • (2022)Research of Topological Properties of Network Reflections Obtained Using Different Algorithms for Scanning Initial NetworksMathematical Modeling and Simulation of Systems10.1007/978-3-030-89902-8_26(347-361)Online publication date: 23-Feb-2022
    • (2021)Personal Trajectory with Ring Structure NetworkSecurity and Communication Networks10.1155/2021/99741912021Online publication date: 1-Jan-2021

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