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GD
2006
Springer
15 years 1 months ago
Upright-Quad Drawing of st -Planar Learning Spaces
We consider graph drawing algorithms for learning spaces, a type of st-oriented partial cube derived from an antimatroid and used to model states of knowledge of students. We show...
David Eppstein
GD
2006
Springer
15 years 1 months ago
Parameterized st -Orientations of Graphs: Algorithms and Experiments
st-orientations (st-numberings) or bipolar orientations of undirected graphs are central to many graph algorithms and applications. Several algorithms have been proposed in the pas...
Charalampos Papamanthou, Ioannis G. Tollis
GD
2006
Springer
15 years 1 months ago
On the Decay of Crossing Numbers
The crossing number cr(G) of a graph G is the minimum number of crossings over all drawings of G in the plane. In 1993, Richter and Thomassen [RT93] conjectured that there is a co...
Jacob Fox, Csaba D. Tóth
GD
2006
Springer
15 years 1 months ago
Improved Circular Layouts
Circular graph layout is a drawing scheme where all nodes are placed on the perimeter of a circle. An inherent issue with circular layouts is that the rigid restriction on node pla...
Emden R. Gansner, Yehuda Koren
GD
2006
Springer
15 years 1 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle