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» General Lower Bounds for the Minor Crossing Number of Graphs
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DCG
2010
93views more  DCG 2010»
13 years 5 months ago
General Lower Bounds for the Minor Crossing Number of Graphs
Drago Bokal, Éva Czabarka, Lászl&oac...
GD
2006
Springer
13 years 8 months ago
Planar Decompositions and the Crossing Number of Graphs with an Excluded Minor
Tree decompositions of graphs are of fundamental importance in structural and algorithmic graph theory. Planar decompositions generalise tree decompositions by allowing an arbitrar...
David R. Wood, Jan Arne Telle
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 6 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
COMGEO
2011
ACM
13 years 21 hour ago
On crossing numbers of geometric proximity graphs
Let P be a set of n points in the plane. A geometric proximity graph on P is a graph where two points are connected by a straight-line segment if they satisfy some prescribed prox...
Bernardo M. Ábrego, Ruy Fabila Monroy, Silv...
CORR
2010
Springer
162views Education» more  CORR 2010»
13 years 1 months ago
Cross-Composition: A New Technique for Kernelization Lower Bounds
We introduce a new technique for proving kernelization lower bounds, called cross-composition. A classical problem L cross-composes into a parameterized problem Q if an instance o...
Hans L. Bodlaender, Bart M. P. Jansen, Stefan Krat...