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Critical Nodes Identification in Large Networks: The Inclined and Detached Models

Published: 01 May 2022 Publication History

Abstract

In social networks, the departure of some users can lead to the dropout of others from the community in cascade. Therefore, the engagement of critical users can significantly influence the stability of a network. In the literature, the anchored/collapsed k-core problem is proposed, which aims to enlarge/collapse the community by anchoring/deleting certain nodes. While, in real social networks, nodes are usually associated with different preferences, such as close or conflict interest. Intuitively, a community will be more stable if more nodes share close interest and fewer of them carry conflict interest. However, most existing researches simply treat all users equally, and the inclination property is neglected. To fill the gap, in this paper, we propose two novel problems, named inclined anchored k-core (IAK) problem and minimum detached k-core (MDK) problem, to better characterize the real scenarios. We prove that both problems are NP-hard. To facilitate the computation, novel search strategies are proposed. Comprehensive experiments are conducted on 9 networks to demonstrate the effectiveness and efficiency of the proposed techniques.

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        Published In

        cover image World Wide Web
        World Wide Web  Volume 25, Issue 3
        May 2022
        438 pages

        Publisher

        Kluwer Academic Publishers

        United States

        Publication History

        Published: 01 May 2022
        Accepted: 18 March 2022
        Revision received: 10 January 2022
        Received: 10 January 2022

        Author Tags

        1. Inclined anchored k-core
        2. Minimum detached k-core
        3. NP-hard

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