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COMGEO
2011
ACM
13 years 3 months 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. ...
DM
2002
97views more  DM 2002»
13 years 7 months ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
COMGEO
2007
ACM
13 years 8 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...
GBRPR
2009
Springer
14 years 19 days ago
A Recursive Embedding Approach to Median Graph Computation
The median graph has been shown to be a good choice to infer a representative of a set of graphs. It has been successfully applied to graph-based classification and clustering. Ne...
Miquel Ferrer, Dimosthenis Karatzas, Ernest Valven...
SODA
2008
ACM
70views Algorithms» more  SODA 2008»
13 years 9 months ago
Optimal universal graphs with deterministic embedding
Let H be a finite family of graphs. A graph G is H-universal if it contains a copy of each H H as a subgraph. Let H(k, n) denote the family of graphs on n vertices with maximum d...
Noga Alon, Michael R. Capalbo