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» On simultaneous planar graph embeddings
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COMPGEOM
2009
ACM
14 years 1 months ago
Randomly removing g handles at once
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
Glencora Borradaile, James R. Lee, Anastasios Sidi...
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
13 years 4 months ago
Contractions of Planar Graphs in Polynomial Time
Abstract. We prove that for every graph H, there exists a polynomial-time algorithm deciding if a planar graph can be contracted to H. We introduce contractions and topological min...
Marcin Kaminski, Daniël Paulusma, Dimitrios M...
COMPGEOM
2007
ACM
13 years 10 months ago
Probabilistic embeddings of bounded genus graphs into planar graphs
Piotr Indyk, Anastasios Sidiropoulos
SIAMCOMP
1998
85views more  SIAMCOMP 1998»
13 years 6 months ago
Separator-Based Sparsification II: Edge and Vertex Connectivity
We consider the problem of maintaining a dynamic planar graph subject to edge insertions and edge deletions that preserve planarity but that can change the embedding. We describe a...
David Eppstein, Zvi Galil, Giuseppe F. Italiano, T...
ECCC
2010
143views more  ECCC 2010»
13 years 4 months ago
Space-Efficient Algorithms for Reachability in Surface-Embedded Graphs
We consider the reachability problem for a certain class of directed acyclic graphs embedded on surfaces. Let G(m, g) be the class of directed acyclic graphs with m = m(n) source ...
Derrick Stolee, N. V. Vinodchandran