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» Computing the Girth of a Planar Graph
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NETWORKS
2011
12 years 10 months ago
On terminal delta-wye reducibility of planar graphs
A graph is terminal ∆ − Y -reducible if, it can be reduced to a distinguished set of terminal vertices by a sequence of series-parallel reductions and ∆−Y -transformations...
Isidoro Gitler, Feliu Sagols
TPHOL
2002
IEEE
14 years 18 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
GD
2003
Springer
14 years 27 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...
COMGEO
2004
ACM
13 years 7 months ago
How to draw the minimum cuts of a planar graph
We show how to utilize the cactus representation of all minimum cuts of a graph to visualize the minimum cuts of a planar graph in a planar drawing. In a first approach the cactus...
Ulrik Brandes, Sabine Cornelsen, Christian Fie&szl...