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» An Algorithm for the Graph Crossing Number Problem
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APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 23 days ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
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
ISAAC
2007
Springer
141views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Algorithms for the Hypergraph and the Minor Crossing Number Problems
Abstract. We consider the problems of hypergraph and minor crossing minimization, and point out a relation between these two problems which has not been exploited before. We presen...
Markus Chimani, Carsten Gutwenger
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
13 years 7 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
GD
2009
Springer
13 years 10 months ago
Complexity of Some Geometric and Topological Problems
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
Marcus Schaefer