Papers › Identifying Cluttering Edges in Near-Planar Graphs

Identifying Cluttering Edges in Near-Planar Graphs

14 Apr 2023arXiv:2304.07274links table onlyarchive 2025-07-28

Simon van Wageningen, Tamara Mchedlidze, Alexandru Telea

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Planar drawings of graphs tend to be favored over non-planar drawings. Testing planarity and creating a planar layout of a planar graph can be done in linear time. However, creating readable drawings of nearly planar graphs remains a challenge. We therefore seek to answer which edges of nearly planar graphs create clutter in their drawings generated by mainstream graph drawing algorithms. We present a heuristic to identify problematic edges in nearly planar graphs and adjust their weights in order to produce higher quality layouts with spring-based drawing algorithms. Our experiments show that our heuristic produces significantly higher quality drawings for augmented grid graphs, augmented triangulations, and deep triangulations.

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