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GD
2003
Springer
14 years 24 days ago
Radial Level Planarity Testing and Embedding in Linear Time
A graph with an ordered k-partition of the vertices is radial level planar if there is a strictly outward drawing on k concentric levels without crossings. Radial level planarity ...
Christian Bachmaier, Franz-Josef Brandenburg, Mich...
TPHOL
2002
IEEE
14 years 15 days ago
The 5 Colour Theorem in Isabelle/Isar
Based on an inductive definition of triangulations, a theory of undirected planar graphs is developed in Isabelle/HOL. The proof of the 5 colour theorem is discussed in some detai...
Gertrud Bauer, Tobias Nipkow
ISAAC
2007
Springer
120views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Succinct Representation of Labeled Graphs
Abstract. We consider the problem of designing succinct representations of labeled graphs (we consider vertex labeled planar triangulations, as well as edge labeled planar graphs a...
Jérémy Barbay, Luca Castelli Aleardi...
COMPGEOM
2003
ACM
14 years 26 days ago
Planar minimally rigid graphs and pseudo-triangulations
Pointed pseudo-triangulations are planar minimally rigid graphs embedded in the plane with pointed vertices (adjacent to an angle larger than π). In this paper we prove that the ...
Ruth Haas, David Orden, Günter Rote, Francisc...
GD
2004
Springer
14 years 1 months ago
Simultaneous Embedding of Planar Graphs with Few Bends
We present an O(n) time algorithm for simultaneous embedding of pairs of planar graphs on the O(n2 )×O(n2 ) grid, with at most three bends per edge, where n is the number of verti...
Cesim Erten, Stephen G. Kobourov