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COCOA
2007
Springer
14 years 4 months ago
A New Exact Algorithm for the Two-Sided Crossing Minimization Problem
The Two-Sided Crossing Minimization (TSCM) problem calls for minimizing the number of edge crossings of a bipartite graph where the two sets of vertices are drawn on two parallel l...
Lanbo Zheng, Christoph Buchheim
ESA
2008
Springer
115views Algorithms» more  ESA 2008»
13 years 11 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
APVIS
2008
13 years 11 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...
INFORMS
2010
147views more  INFORMS 2010»
13 years 7 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
WEA
2010
Springer
330views Algorithms» more  WEA 2010»
14 years 4 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