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Minimizing the Oriented Diameter of a Planar Graph [PDF]

open access: yesElectronic Notes in Discrete Mathematics, 2009
We consider the problem of minimizing the diameter of an orientation of a planar graph. A result of Chvátal and Thomassen shows that for general graphs, it is NP-complete to decide whether a graph can be oriented so that its diameter is at most two.
Steven Noble
exaly   +2 more sources
Some of the next articles are maybe not open access.

A sufficient condition for a planar graph to be 3-choosable

Information Processing Letters, 2007
Yingqian Wang
exaly  

A sufficient condition for a planar graph to be class 1

Theoretical Computer Science, 2007
Weifan Wang
exaly  

The random planar graph process

Random Structures and Algorithms, 2008
Anusch Taraz, Angelika Steger
exaly  

Parameterized complexity: exponential speed-up for planar graph problems

Journal of Algorithms, 2004
Henning Fernau   +2 more
exaly  

Every planar graph has an acyclic 7-coloring

Israel Journal of Mathematics, 1977
Michael O Albertson
exaly  

A Important Property on Planar Graph

Applied Mechanics and Materials, 2011
Na Na Li
exaly  

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