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Computing NodeTrix Representations Of Clustered Graphs.pdf

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Preview of Computing NodeTrix Representations of Clustered Graphs
🔗 Source: arxiv.org
📊 Size: 748 KB
📄 Pages: 36 pages
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Summary

Researchers study the complexity of constructing NodeTrix representations of clustered graphs, focusing on planarity testing problems, and show several NP-completeness results and some polynomial-time algorithms. NodeTrix representations visualize clustered graphs by representing clusters as adjacency matrices and inter-cluster edges as curves connecting the matrix boundaries. The study finds that testing if a flat clustered graph admits a planar NodeTrix representation is NP-complete, even with fixed row and column orders or fixed exit sides for inter-cluster edges. However, with fixed orders and sides, the problem becomes linear-time solvable. A more constrained model, monotone NodeTrix representation, is also studied, which requires xy-monotone curves for inter-cluster edges and non-intersecting convex hulls. The results have implications for graph drawing and visualization systems.

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Researchers study the complexity of constructing NodeTrix representations of clustered graphs, focusing on planarity testing problems, and show several...

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  • File Format: PDF
  • File Size: 748 KB
  • Pages: 36
  • Language: EN
  • Total Downloads: 87
  • Last Updated: 5 hours ago

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