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» Manhattan-Geodesic Embedding of Planar Graphs
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JGT
2008
74views more  JGT 2008»
13 years 9 months ago
Straight line embeddings of cubic planar graphs with integer edge lengths
We prove that every simple cubic planar graph admits a planar embedding such that each edge is embedded as a straight line segment of integer length.
Jim Geelen, Anjie Guo, David McKinnon
CCCG
2007
13 years 11 months ago
Pointed Drawings of Planar Graphs
We study the problem how to draw a planar graph such that every vertex is incident to an angle greater than π. In general a straightline embedding cannot guarantee this property....
Oswin Aichholzer, Günter Rote, André S...
ESA
2010
Springer
188views Algorithms» more  ESA 2010»
13 years 7 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...
DM
2002
104views more  DM 2002»
13 years 9 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
COMPGEOM
2007
ACM
14 years 1 months ago
Probabilistic embeddings of bounded genus graphs into planar graphs
Piotr Indyk, Anastasios Sidiropoulos