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Wrapping Layered Graphs

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Book cover Diagrammatic Representation and Inference (Diagrams 2018)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 10871))

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Abstract

We present additions to the widely-used layout method for directed acyclic graphs of Sugiyama et al. that allow to better utilize a prescribed drawing area. The method itself partitions the graph’s nodes into layers. When drawing from top to bottom, the number of layers directly impacts the height of a resulting drawing and is bound from below by the graph’s longest path. As a consequence, the drawings of certain graphs are significantly taller than wide, making it hard to properly display them on a medium such as a computer screen without scaling the graph’s elements down to illegibility. We address this with the Wrapping Layered Graphs Problem (WLGP), which seeks for cut indices that split a given layering into chunks that are drawn side-by-side with a preferably small number of edges wrapping backwards. Our experience and a quantitative evaluation indicate that the proposed wrapping allows an improved presentation of narrow graphs, which occur frequently in practice and of which the internal compiler representation SCG is one example.

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Notes

  1. 1.

    https://www.eclipse.org/elk/.

  2. 2.

    Note that this does not relate to the number of cuts but to the number of edges that span a certain cut index.

References

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  3. Rüegg, U., von Hanxleden, R.: Wrapping layered graphs. Technical report 1803, Kiel University, Department of Computer Science, February 2018. ISSN 2192–6247

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Acknowledgement

This work has been supported in part by the German Science Foundation, as part of the Compact Graph Drawing with Port Constraints (ComDraPor, DFG HA 4407/8-1) project.

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Correspondence to Ulf Rüegg .

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Rüegg, U., von Hanxleden, R. (2018). Wrapping Layered Graphs. In: Chapman, P., Stapleton, G., Moktefi, A., Perez-Kriz, S., Bellucci, F. (eds) Diagrammatic Representation and Inference. Diagrams 2018. Lecture Notes in Computer Science(), vol 10871. Springer, Cham. https://doi.org/10.1007/978-3-319-91376-6_72

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  • DOI: https://doi.org/10.1007/978-3-319-91376-6_72

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-91375-9

  • Online ISBN: 978-3-319-91376-6

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