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LinSets.zip: Compressing Linear Set Diagrams.

Markus Wallinger, Alexander Dobler, Martin Nollenburg

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    Summary
    This summary is machine-generated.

    LinSets.zip enhances linear diagrams for set visualization by compressing rows and reordering columns. This method improves space efficiency and readability in set system representations.

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    Area of Science:

    • Computer Science
    • Data Visualization
    • Graph Theory

    Background:

    • Linear diagrams visualize set systems using matrix representations.
    • Current methods can be space-inefficient and visually sparse.
    • Intersecting sets may appear distant, hindering analysis.

    Purpose of the Study:

    • Introduce LinSets.zip, a novel approach for space-efficient linear diagrams.
    • Improve readability and reduce visual clutter in set system visualizations.
    • Develop a practical visualization pipeline with efficient computation.

    Main Methods:

    • Column reordering to minimize gaps in horizontal segments.
    • Row compression allowing multiple non-intersecting sets per row.
    • Implementation using integer-linear programming and heuristics.
    • Quantitative evaluation and user experiment for comparison.

    Main Results:

    • LinSets.zip achieves significant space efficiency compared to traditional linear diagrams.
    • Column reordering demonstrably improves visualization readability.
    • Row compression effectively reduces the overall height of the matrix representation.
    • User study validates the effectiveness of the proposed compression techniques.

    Conclusions:

    • LinSets.zip offers a more compact and readable visualization for set systems.
    • The approach effectively addresses limitations of standard linear diagrams.
    • The developed pipeline provides a practical solution for visualizing complex set data.