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ENDM
2007
65views more  ENDM 2007»
13 years 5 months ago
The crossing number of a projective graph is quadratic in the face-width
Isidoro Gitler, Petr Hlinený, Jesús ...
STOC
2001
ACM
143views Algorithms» more  STOC 2001»
14 years 5 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 2 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
COCOA
2007
Springer
13 years 11 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
WALCOM
2010
IEEE
255views Algorithms» more  WALCOM 2010»
14 years 9 days ago
A Global k-Level Crossing Reduction Algorithm
Abstract. Directed graphs are commonly drawn by the Sugiyama algorithm, where crossing reduction is a crucial phase. It is done by repeated one-sided 2-level crossing minimizations...
Christian Bachmaier, Franz-Josef Brandenburg, Wolf...