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» An Algorithm for the Graph Crossing Number Problem
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INFORMS
2010
147views more  INFORMS 2010»
13 years 5 months ago
Exact Algorithms for the Quadratic Linear Ordering Problem
The quadratic linear ordering problem naturally generalizes various optimization problems, such as bipartite crossing minimization or the betweenness problem, which includes linear...
Christoph Buchheim, Angelika Wiegele, Lanbo Zheng
GD
2007
Springer
14 years 2 months ago
Simultaneous Geometric Graph Embeddings
We consider the following problem known as simultaneous geometric graph embedding (SGE). Given a set of planar graphs on a shared vertex set, decide whether the vertices can be pla...
Alejandro Estrella-Balderrama, Elisabeth Gassner, ...
GD
2006
Springer
14 years 3 days ago
Computing Geometric Minimum-Dilation Graphs Is NP-Hard
We prove that computing a geometric minimum-dilation graph on a given set of points in the plane, using not more than a given number of edges, is an NP-hard problem, no matter if ...
Rolf Klein, Martin Kutz
WEA
2010
Springer
330views Algorithms» more  WEA 2010»
14 years 3 months ago
Exact Bipartite Crossing Minimization under Tree Constraints
A tanglegram consists of a pair of (not necessarily binary) trees T1, T2 with leaf sets L1, L2. Additional edges, called tangles, may connect nodes in L1 with those in L2. The task...
Frank Baumann, Christoph Buchheim, Frauke Liers
ICTAI
2010
IEEE
13 years 6 months ago
An Effective Multilevel Memetic Algorithm for Balanced Graph Partitioning
The balanced graph partitioning consists in dividing the vertices of an undirected graph into a given number of subsets of approximately equal size, such that the number of edges c...
Una Benlic, Jin-Kao Hao