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» New upper bounds on the decomposability of planar graphs
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GD
2007
Springer
14 years 26 days ago
Minimizing the Area for Planar Straight-Line Grid Drawings
Straight-line grid drawings of bounded size is a classical topic in graph drawing. The Graph Drawing Challenge 2006 dealt with minimizing the area of planar straight-line grid draw...
Marcus Krug, Dorothea Wagner
CORR
2010
Springer
168views Education» more  CORR 2010»
13 years 6 months ago
Upper oriented chromatic number of undirected graphs and oriented colorings of product graphs
The oriented chromatic number of an oriented graph G is the minimum order of an oriented graph H such that G admits a homomorphism to H. The oriented chromatic number of an undire...
Eric Sopena
COMGEO
2007
ACM
13 years 6 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
ALGORITHMICA
2011
13 years 1 months ago
Crossing Number and Weighted Crossing Number of Near-Planar Graphs
A nonplanar graph G is near-planar if it contains an edge e such that G−e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from diffe...
Sergio Cabello, Bojan Mohar
STACS
2000
Springer
13 years 10 months ago
The Complexity of Planarity Testing
We clarify the computational complexity of planarity testing, by showing that planarity testing is hard for L, and lies in SL. This nearly settles the question, since it is widely...
Eric Allender, Meena Mahajan