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Local Search for Maximum Vertex Weight Clique on Large Sparse Graphs with Efficient Data Structures

Published: 05 December 2016 Publication History

Abstract

The Maximum Vertex Weight Clique (MVWC) problem is a generalization of the Maximum Clique problem, which exists in many real-world applications. However, it is NP-hard and also very difficult to approximate. In this paper we developed a local search MVWC solver to deal with large sparse instances. We first introduce random walk into the multi-neighborhood greedy search, and then implement the algorithm with efficient data structures. Experimental results showed that our solver significantly outperformed state-of-the-art local search MVWC solvers. It attained all the best-known solutions, and found new best-known solutions on some instances.

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Cited By

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  • (2019)Efficient Local Search for Minimum Dominating Sets in Large GraphsDatabase Systems for Advanced Applications10.1007/978-3-030-18579-4_13(211-228)Online publication date: 22-Apr-2019
  • (2019)Common Object Discovery as Local Search for Maximum Weight Cliques in a Global Object Similarity GraphDiscrete Geometry for Computer Imagery10.1007/978-3-030-14085-4_18(219-233)Online publication date: 26-Mar-2019

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        cover image Guide Proceedings
        AI 2016: Advances in Artificial Intelligence: 29th Australasian Joint Conference, Hobart, TAS, Australia, December 5-8, 2016, Proceedings
        Dec 2016
        727 pages
        ISBN:978-3-319-50126-0
        DOI:10.1007/978-3-319-50127-7
        • Editors:
        • Byeong Ho Kang,
        • Quan Bai

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        Springer-Verlag

        Berlin, Heidelberg

        Publication History

        Published: 05 December 2016

        Author Tags

        1. Local search
        2. Maximum vertex weight clique
        3. Large sparse graphs
        4. Data structures

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        View all
        • (2019)Efficient Local Search for Minimum Dominating Sets in Large GraphsDatabase Systems for Advanced Applications10.1007/978-3-030-18579-4_13(211-228)Online publication date: 22-Apr-2019
        • (2019)Common Object Discovery as Local Search for Maximum Weight Cliques in a Global Object Similarity GraphDiscrete Geometry for Computer Imagery10.1007/978-3-030-14085-4_18(219-233)Online publication date: 26-Mar-2019

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