LinSets.zip: Compressing Linear Set Diagrams

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.