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COMGEO
2007
ACM

On simultaneous planar graph embeddings

8 years 10 months ago
On simultaneous planar graph embeddings
We consider the problem of simultaneous embedding of planar graphs. There are two variants of this problem, one in which the mapping between the vertices of the two graphs is given and another in which the mapping is not given. In particular, given a mapping, we show how to embed two paths on an n × n grid, and two caterpillar graphs on a 3n × 3n grid. We show that it is not always possible to simultaneously embed three paths. If the mapping is not given, we show that any number of outerplanar graphs can be embedded simultaneously on an O(n) × O(n) grid, and an outerplanar and general planar graph can be embedded simultaneously on an O(n2 ) × O(n2 ) grid.
Peter Braß, Eowyn Cenek, Christian A. Duncan
Added 12 Dec 2010
Updated 12 Dec 2010
Type Journal
Year 2007
Where COMGEO
Authors Peter Braß, Eowyn Cenek, Christian A. Duncan, Alon Efrat, Cesim Erten, Dan Ismailescu, Stephen G. Kobourov, Anna Lubiw, Joseph S. B. Mitchell
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