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    This study introduces a new method using large neighborhood search (LNS) to improve layered network visualizations. The LNS approach significantly reduces edge crossings in network layouts, enhancing readability within practical time limits.

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    Area of Science:

    • Computer Science
    • Information Visualization
    • Graph Drawing

    Background:

    • Layered network visualizations are crucial for representing complex data but often suffer from edge crossings and long edges, impairing readability.
    • Existing layout algorithms use heuristics or optimal methods, trading off quality for computation time.

    Purpose of the Study:

    • To develop an optimization metaheuristic that balances high-quality network layouts with predetermined execution times.
    • To improve the readability of layered network visualizations by minimizing edge crossings and edge lengths.

    Main Methods:

    • An adaptation of the large neighborhood search (LNS) metaheuristic was developed, which repeatedly selects fixed-sized subgraphs for optimal layout.
    • A computational evaluation compared five node selection strategies, four neighborhood selection methods, and three subgraph size criteria on 450 synthetic networks.
    • The method was further tested on 13 large control flow graphs in a case study.

    Main Results:

    • The LNS metaheuristic generally reduced edge crossings by half compared to the barycentric heuristic, while maintaining reasonable runtimes.
    • The optimal approach involved random candidate node selection, degree centrality for neighborhood identification, and small subgraph sizes (0.6 or 1.2 seconds layout time).
    • In case studies, the LNS method produced fewer crossings than Tabu Search and significantly outperformed an ILP solver under bounded runtime.

    Conclusions:

    • The proposed LNS-based optimization metaheuristic effectively generates high-quality layered network visualizations within specified time constraints.
    • This approach offers a practical solution for creating more readable network diagrams, outperforming existing methods like Tabu Search and ILP solvers in time-bounded scenarios.