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» On simultaneous planar graph embeddings
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GD
2007
Springer
13 years 11 months ago
Constrained Simultaneous and Near-Simultaneous Embeddings
A geometric simultaneous embedding of two graphs G1 = (V1, E1) and G2 = (V2, E2) with a bijective mapping of their vertex sets γ : V1 → V2 is a pair of planar straightline drawi...
Fabrizio Frati, Michael Kaufmann, Stephen G. Kobou...
DM
2002
104views more  DM 2002»
13 years 5 months ago
A polynomial time algorithm for determining zero Euler-Petrie genus of an Eulerian graph
A dual-eulerian graph is a plane graph which has an ordering defined on its edge set which forms simultaneously an Euler circuit in the graph and an euler circuit in the dual grap...
Brigitte Servatius, Herman Servatius
ESA
2000
Springer
122views Algorithms» more  ESA 2000»
13 years 9 months ago
Minimum Depth Graph Embedding
Abstract. The depth of a planar embedding is a measure of the topological nesting of the biconnected components of the graph. Minimizing the depth of planar embeddings has importan...
Maurizio Pizzonia, Roberto Tamassia
WADS
2009
Springer
281views Algorithms» more  WADS 2009»
14 years 2 days ago
The Simultaneous Representation Problem for Chordal, Comparability and Permutation Graphs
Abstract. We introduce the simultaneous representation problem, defined for any graph class C characterized in terms of representations, e.g. any class of intersection graphs. Two...
Krishnam Raju Jampani, Anna Lubiw
COMPGEOM
2010
ACM
13 years 10 months ago
Adding one edge to planar graphs makes crossing number hard
A graph is near-planar if it can be obtained from a planar graph by adding an edge. We show that it is NP-hard to compute the crossing number of near-planar graphs. The main idea ...
Sergio Cabello, Bojan Mohar