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Fast Estimation of Closeness Centrality Ranking

Published: 31 July 2017 Publication History
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  • Abstract

    Closeness centrality is one way of measuring how central a node is in the given network. The closeness centrality measure assigns a centrality value to each node based on its accessibility to the whole network. In real life applications, we are mainly interested in ranking nodes based on their centrality values. The classical method to compute the rank of a node first computes the closeness centrality of all nodes and then compares them to get its rank. Its time complexity is O(n · m + n), where n represents total number of nodes, and m represents total number of edges in the network. In the present work, we propose a heuristic method to fast estimate the closeness rank of a node in O(α · m) time complexity, where α = 3. We also propose an extended improved method using uniform sampling technique. This method better estimates the rank and it has the time complexity O(α · m), where α ≈ 10-100. This is an excellent improvement over the classical centrality ranking method. The efficiency of the proposed methods is verified on real world scale-free social networks using absolute and weighted error functions.

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    cover image ACM Conferences
    ASONAM '17: Proceedings of the 2017 IEEE/ACM International Conference on Advances in Social Networks Analysis and Mining 2017
    July 2017
    698 pages
    ISBN:9781450349932
    DOI:10.1145/3110025
    © 2017 Association for Computing Machinery. ACM acknowledges that this contribution was authored or co-authored by an employee, contractor or affiliate of the United States government. As such, the United States Government retains a nonexclusive, royalty-free right to publish or reproduce this article, or to allow others to do so, for Government purposes only.

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    New York, NY, United States

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    Published: 31 July 2017

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    • (2024)What is my privacy score? Measuring users’ privacy on social networking websitesElectronic Commerce Research10.1007/s10660-023-09796-0Online publication date: 1-Feb-2024
    • (2024)Quickcent: a fast and frugal heuristic for harmonic centrality estimation on scale-free networksComputing10.1007/s00607-024-01303-z106:8(2675-2705)Online publication date: 8-Jun-2024
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    • (2019)On the Algorithms of Identifying Opinion Leaders in Social NetworksProcedia Computer Science10.1016/j.procs.2019.12.050162(778-785)Online publication date: 2019
    • (2019)Compressive closeness in networksApplied Network Science10.1007/s41109-019-0213-54:1Online publication date: 6-Nov-2019
    • (2019)Greedily Remove k Links to Hide Important Individuals in Social NetworkSecurity and Privacy in Social Networks and Big Data10.1007/978-981-15-0758-8_17(223-237)Online publication date: 24-Oct-2019
    • (2018)A heuristic approach to estimate nodes’ closeness rank using the properties of real world networksSocial Network Analysis and Mining10.1007/s13278-018-0545-79:1Online publication date: 5-Dec-2018
    • (2018)A Compressive Sensing Framework for Distributed Detection of High Closeness Centrality Nodes in NetworksComplex Networks and Their Applications VII10.1007/978-3-030-05414-4_8(91-103)Online publication date: 5-Dec-2018
    • (2018)K-Shell Rank Analysis Using Local InformationComputational Data and Social Networks10.1007/978-3-030-04648-4_17(198-210)Online publication date: 18-Nov-2018

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