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» Computing the Girth of a Planar Graph
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APPML
2007
101views more  APPML 2007»
13 years 7 months ago
Extension of a theorem of Whitney
It is shown that every planar graph with no separating triangles is a subgraph of a Hamiltonian planar graph; that is, Whitney’s theorem holds without the assumption of a triang...
Paul C. Kainen, Shannon Overbay
GD
2006
Springer
13 years 11 months ago
Upright-Quad Drawing of st -Planar Learning Spaces
We consider graph drawing algorithms for learning spaces, a type of st-oriented partial cube derived from an antimatroid and used to model states of knowledge of students. We show...
David Eppstein
GD
2006
Springer
13 years 11 months ago
Planarity Testing and Optimal Edge Insertion with Embedding Constraints
The planarization method has proven to be successful in graph drawing. The output, a combinatorial planar embedding of the so-called planarized graph, can be combined with state-o...
Carsten Gutwenger, Karsten Klein, Petra Mutzel
ICCV
2007
IEEE
14 years 2 months ago
Fast Matching of Planar Shapes in Sub-cubic Runtime
The matching of planar shapes can be cast as a problem of finding the shortest path through a graph spanned by the two shapes, where the nodes of the graph encode the local simil...
Frank R. Schmidt, Dirk Farin, Daniel Cremers
CORR
2008
Springer
72views Education» more  CORR 2008»
13 years 7 months ago
Longest paths in Planar DAGs in Unambiguous Logspace
Reachability and distance computation are known to be NL-complete in general graphs, but within UL co-UL if the graphs are planar. However, finding longest paths is known to be N...
Nutan Limaye, Meena Mahajan, Prajakta Nimbhorkar