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» Computing crossing numbers in quadratic time
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STOC
2001
ACM
143views Algorithms» more  STOC 2001»
14 years 10 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
GD
2007
Springer
14 years 4 months ago
Crossing Numbers and Parameterized Complexity
The odd crossing number of G is the smallest number of pairs of edges that cross an odd number of times in any drawing of G. We show that there always is a drawing realizing the o...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
MOC
1998
106views more  MOC 1998»
13 years 9 months ago
Computations of class numbers of real quadratic fields
In this paper an unconditional probabilistic algorithm to compute the class number of a real quadratic field Q( √ d) is presented, which computes the class number in expected ti...
Anitha Srinivasan
GD
2005
Springer
14 years 3 months ago
Odd Crossing Number Is Not Crossing Number
The crossing number of a graph is the minimum number of edge intersections in a plane drawing of a graph, where each intersection is counted separately. If instead we count the nu...
Michael J. Pelsmajer, Marcus Schaefer, Daniel Stef...
ICCSA
2004
Springer
14 years 3 months ago
Quadratic-Time Linear-Space Algorithms for Generating Orthogonal Polygons with a Given Number of Vertices
We propose Inflate-Paste – a new technique for generating orthogonal polygons with a given number of vertices from a unit square based on gluing rectangles. It is dual to Inflate...
Ana Paula Tomás, António Leslie Baju...