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Special Issue on Selected Papers from the Nineteenth International Symposium on Graph Drawing, GD 2011
DOI: 10.7155/jgaa.00276
Proportional Contact Representations of Planar Graphs
Md. Jawaherul Alam,
Therese Biedl,
Stefan Felsner,
Michael Kaufmann, and
Stephen G. Kobourov
Vol. 16, no. 3, pp. 701-728, 2012. Regular paper.
Abstract We study contact representations for planar graphs, with vertices
represented by simple polygons and adjacencies represented by
point-contacts or side-contacts between the corresponding
polygons. Specifically, we consider proportional contact
representations, where pre-specified vertex weights must be
represented by the areas of the corresponding polygons.
Natural optimization goals for such representations include minimizing
the complexity of the polygons, and the unused
area. We describe algorithms for proportional contact
representations with optimal polygonal complexity for
general planar graphs and planar 2-segment graphs,
which include maximal outer-planar graphs and partial 2-trees.
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Submitted: November 2011.
Reviewed: April 2012.
Revised: May 2012.
Reviewed: July 2012.
Revised: August 2012.
Accepted: August 2012.
Final: September 2012.
Published: September 2012.
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