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» On Metro-Line Crossing Minimization
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JGAA
2010
68views more  JGAA 2010»
13 years 4 months ago
On Metro-Line Crossing Minimization
Evmorfia N. Argyriou, Michael A. Bekos, Michael Ka...
APVIS
2008
13 years 7 months ago
Crossing Minimization meets Simultaneous Drawing
We define the concept of crossing numbers for simultaneous graphs by extending the crossing number problem of traditional graphs. We discuss differences to the traditional crossin...
Markus Chimani, Michael Jünger, Michael Schul...
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
13 years 7 months ago
A New Approach to Exact Crossing Minimization
The crossing number problem is to find the smallest number of edge crossings necessary when drawing a graph into the plane. Eventhough the problem is NP-hard, we are interested in ...
Markus Chimani, Petra Mutzel, Immanuel M. Bomze
JEA
2010
94views more  JEA 2010»
13 years 11 days ago
Layer-free upward crossing minimization
An upward drawing of a DAG G is a drawing of G in which all edges are drawn as curves increasing monotonically in the vertical direction. In this paper, we present a new approach f...
Markus Chimani, Carsten Gutwenger, Petra Mutzel, H...
COCOON
2006
Springer
13 years 9 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