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» Crossing minimization in extended level drawings of graphs
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ESA
2008
Springer
115views Algorithms» more  ESA 2008»
13 years 10 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
ISBRA
2009
Springer
14 years 3 months ago
Untangling Tanglegrams: Comparing Trees by Their Drawings
A tanglegram is a pair of trees on the same set of leaves with matching leaves in the two trees joined by an edge. Tanglegrams are widely used in biology – to compare evolutiona...
Balaji Venkatachalam, Jim Apple, Katherine St. Joh...
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
COCOA
2007
Springer
14 years 2 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
GD
2003
Springer
14 years 1 months ago
Fixed-Location Circular-Arc Drawing of Planar Graphs
In this paper we consider the problem of drawing a planar graph using circular arcs as edges, given a one-to-one mapping between the vertices of the graph and a set of points in t...
Alon Efrat, Cesim Erten, Stephen G. Kobourov