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SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 7 months ago
Approximating the Crossing Number of Graphs Embeddable in Any Orientable Surface
The crossing number of a graph is the least number of pairwise edge crossings in a drawing of the graph in the plane. We provide an O(n log n) time constant factor approximation al...
Petr Hlineny, Markus Chimani
COMPGEOM
2004
ACM
14 years 3 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
COCOON
2005
Springer
14 years 3 months ago
Radial Coordinate Assignment for Level Graphs
We present a simple linear time algorithm for drawing level graphs with a given ordering of the vertices within each level. The algorithm draws in a radial fashion without changing...
Christian Bachmaier, Florian Fischer, Michael Fors...
GD
2006
Springer
14 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
AUIC
2006
IEEE
14 years 4 months ago
Fluid sketching of directed graphs
We describe a prototype sketch-based system that allows users to draw and manipulate directed graphs using gestural input exclusively. The system incorporates the notion of fluid...
James Arvo, Kevin Novins