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» Parity Problems in Planar Graphs
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FSTTCS
2005
Springer
15 years 6 months ago
Fixpoint Logics on Hierarchical Structures
Hierarchical graph definitions allow a modular description of graphs using modules for the specification of repeated substructures. Beside this modularity, hierarchical graph de...
Stefan Göller, Markus Lohrey
JCT
2006
134views more  JCT 2006»
15 years 1 months ago
MacLane's planarity criterion for locally finite graphs
MacLane's planarity criterion states that a finite graph is planar if and only if its cycle space has a basis B such that every edge is contained in at most two members of B....
Henning Bruhn, Maya Jakobine Stein
GD
2006
Springer
15 years 5 months ago
Simultaneous Graph Embedding with Bends and Circular Arcs
Abstract. We consider the problem of simultaneous embedding of planar graphs. We demonstrate how to simultaneously embed a path and an n-level planar graph and how to use radial em...
Justin Cappos, Alejandro Estrella-Balderrama, J. J...
ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 2 months ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
WG
2007
Springer
15 years 7 months ago
Obtaining a Planar Graph by Vertex Deletion
In the Planar +k vertex problem the task is to find at most k vertices whose deletion makes the given graph planar. The graphs for which there exists a solution form a minor close...
Dániel Marx, Ildikó Schlotter