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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 6 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 3 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 12 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 23 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...