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» Crossing and Weighted Crossing Number of Near-Planar Graphs
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COCOON
2006
Springer
13 years 11 months ago
Fixed Linear Crossing Minimization by Reduction to the Maximum Cut Problem
Many real-life scheduling, routing and location problems can be formulated as combinatorial optimization problems whose goal is to find a linear layout of an input graph in such a ...
Christoph Buchheim, Lanbo Zheng
ISCAS
1999
IEEE
95views Hardware» more  ISCAS 1999»
13 years 12 months ago
Evaluating iterative improvement heuristics for bigraph crossing minimization
The bigraph crossing problem, embedding the two node sets of a bipartite graph G = V0;V1;E along two parallel lines so that edge crossings are minimized, has application to placeme...
Matthias F. M. Stallmann, Franc Brglez, Debabrata ...
JGAA
2000
85views more  JGAA 2000»
13 years 7 months ago
Techniques for the Refinement of Orthogonal Graph Drawings
Current orthogonal graph drawing algorithms produce drawings which are generally good. However, many times the quality of orthogonal drawings can be significantly improved with a ...
Janet M. Six, Konstantinos G. Kakoulis, Ioannis G....
ENDM
2007
106views more  ENDM 2007»
13 years 7 months ago
Removing Even Crossings on Surfaces
In this paper we investigate how certain results related to the HananiTutte theorem can be extended from the plane to surfaces. We give a simple topological proof that the weak Ha...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
FOCS
2009
IEEE
14 years 2 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi