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» Simultaneous Geometric Graph Embeddings
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COMGEO
2011
ACM
13 years 17 days ago
Characterizations of restricted pairs of planar graphs allowing simultaneous embedding with fixed edges
A set of planar graphs share a simultaneous embedding if they can be drawn on the same vertex set V in the Euclidean plane without crossings between edges of the same graph. Fixed ...
J. Joseph Fowler, Michael Jünger, Stephen G. ...
COMGEO
2007
ACM
13 years 5 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...
Peter Braß, Eowyn Cenek, Christian A. Duncan...
GD
2008
Springer
13 years 6 months ago
An SPQR-Tree Approach to Decide Special Cases of Simultaneous Embedding with Fixed Edges
Abstract. We present a linear-time algorithm for solving the simultaneous embedding problem with fixed edges (SEFE) for a planar graph and a pseudoforest (a graph with at most one...
J. Joseph Fowler, Carsten Gutwenger, Michael J&uum...
GD
2006
Springer
13 years 9 months ago
Choosing Colors for Geometric Graphs Via Color Space Embeddings
Graph drawing research traditionally focuses on producing geometric embeddings of graphs satisfying various aesthetic constraints. However additional work must still be done to dra...
Michael B. Dillencourt, David Eppstein, Michael T....
GD
2004
Springer
13 years 11 months ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov