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Unlabeled Level Planar Trees and Graphs. Stephen G. Kobourov. Department of Computer Science, The University of Arizona. Consider a graph G in which each of the. Vertices from vertex set. Is assigned a number from the set {1, . . . ,. For some positive integer. This assignment forms a labeling if all. Numbers are used. If adjacent vertices are not assigned the same label, then this forms a leveling that partitions. Has a planar drawing in which the. Monotone line segments, then.

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Unlabeled Level Planar Trees and Graphs. Stephen G. Kobourov. Department of Computer Science, The University of Arizona. Consider a graph G in which each of the. Vertices from vertex set. Is assigned a number from the set {1, . . . ,. For some positive integer. This assignment forms a labeling if all. Numbers are used. If adjacent vertices are not assigned the same label, then this forms a leveling that partitions. Has a planar drawing in which the. Monotone line segments, then.

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1 papers

2 presentations

3 implementation

4 screenshots and examples

5 movies and demos

6 alejandro estrella balderrama

7 j joseph fowler

8 into

9 levels if

10 is level planar

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ULP Main Page | ulp.cs.arizona.edu Reviews

https://ulp.cs.arizona.edu

Unlabeled Level Planar Trees and Graphs. Stephen G. Kobourov. Department of Computer Science, The University of Arizona. Consider a graph G in which each of the. Vertices from vertex set. Is assigned a number from the set {1, . . . ,. For some positive integer. This assignment forms a labeling if all. Numbers are used. If adjacent vertices are not assigned the same label, then this forms a leveling that partitions. Has a planar drawing in which the. Monotone line segments, then.

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ulp.cs.arizona.edu

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ULP Main Page

http://ulp.cs.arizona.edu/index.html

Unlabeled Level Planar Trees and Graphs. Stephen G. Kobourov. Department of Computer Science, The University of Arizona. Consider a graph G in which each of the. Vertices from vertex set. Is assigned a number from the set {1, . . . ,. For some positive integer. This assignment forms a labeling if all. Numbers are used. If adjacent vertices are not assigned the same label, then this forms a leveling that partitions. Has a planar drawing in which the. Monotone line segments, then.

2

ULP Papers Page

http://ulp.cs.arizona.edu/papers.html

A Estrella-Balderrama, J. J. Fowler, and S. G. Kobourov, "Characterization of Unlabeled Level Planar Trees",. 14th Symposium on Graph Drawing (GD 2006), LNCS 4372,. Pp 367-379, 2007. Journal version to appear in 2009 in Computational Geometry: Theory and Applications. J J Fowler and S. G. Kobourov, "Characterization of Unlabeled Level Planar Graphs",. 15th Symposium on Graph Drawing (GD 2007), LNCS 4875,. Pp 37-49, 2008. J J Fowler and S. G. Kobourov, "Minimum Level Nonplanar Patterns for Trees",.

3

ULP Presentations Page

http://ulp.cs.arizona.edu/presentations.html

A Estrella-Balderrama, J. J. Fowler, and S. G. Kobourov, "Characterization of Unlabeled Level Planar Trees",. 14th Symposium on Graph Drawing (GD 2006). J J Fowler and S. G. Kobourov, "Characterization of Unlabeled Level Planar Graphs",. 15th Symposium on Graph Drawing (GD 2007). J J Fowler and S. G. Kobourov, "Minimum Level Nonplanar Patterns for Trees",. 15th Symposium on Graph Drawing (GD 2007).

4

ULP Movies and Demos Page

http://ulp.cs.arizona.edu/movies.html

Movies and Demos for ULP Trees. The movies on this page are recorded demos of the GraphSET examples given on the Screenshots and Examples. Each movie is available in two formats:. Most Windows users should be able to play the AVI format using Windows Media Player. This requires the Microsoft MPEG-4 Video Codec V3. On most Windows installations, this codec is available by default. If not, the codec can be freely downloaded from Microsoft's website. Figure 2 - Caterpillar on 30 Levels. The following movies...

5

ULP Screenshots and Examples Page

http://ulp.cs.arizona.edu/screenshots.html

Screenshots and Examples of ULP Trees. The screenshots on this page are based upon the figures from the journal version of the ULP tree paper. For each screenshot, a GraphSET file is provided that can be directly manipulated to better understand the ULP tree drawing and recognition algorithms. ULP Trees with Distinct Labels. The following screenshots are for trees that ULP provided each vertex has a distinct label, i.e., each track has only one vertex. Figure 2 - Caterpillar on 30 Levels. Figure 3 - Radi...

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Unlabeled Level Planar Trees and Graphs. Stephen G. Kobourov. Department of Computer Science, The University of Arizona. Consider a graph G in which each of the. Vertices from vertex set. Is assigned a number from the set {1, . . . ,. For some positive integer. This assignment forms a labeling if all. Numbers are used. If adjacent vertices are not assigned the same label, then this forms a leveling that partitions. Has a planar drawing in which the. Monotone line segments, then.

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