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» On Spectral Graph Drawing
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STOC
2001
ACM
143views Algorithms» more  STOC 2001»
14 years 9 months ago
Computing crossing numbers in quadratic time
We show that for every fixed ? there is a quadratic time algorithm that decides whether a given graph has crossing number at most and, if this is the case, computes a drawing of t...
Martin Grohe
SODA
2010
ACM
248views Algorithms» more  SODA 2010»
14 years 6 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 2 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 2 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...
ISAAC
2005
Springer
111views Algorithms» more  ISAAC 2005»
14 years 2 months ago
Boosting Spectral Partitioning by Sampling and Iteration
A partition of a set of n items is a grouping of the items into k disjoint classes of equal size. Any partition can be modeled as a graph: the items become the vertices of the grap...
Joachim Giesen, Dieter Mitsche