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ENDM
2008
101views more  ENDM 2008»
13 years 7 months ago
A central approach to bound the number of crossings in a generalized configuration
A generalized configuration is a set of n points and n 2 pseudolines such that each pseudoline passes through exactly two points, two pseudolines intersect exactly once, and no th...
Bernardo M. Ábrego, Silvia Fernández...
COMGEO
2011
ACM
13 years 2 months 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...
SIAMCOMP
2000
118views more  SIAMCOMP 2000»
13 years 7 months ago
On Bipartite Drawings and the Linear Arrangement Problem
The bipartite crossing number problem is studied, and a connection between this problem and the linear arrangement problem is established. It is shown that when the arboricity is ...
Farhad Shahrokhi, Ondrej Sýkora, Lás...
SOFSEM
2005
Springer
14 years 25 days ago
Outerplanar Crossing Numbers of 3-Row Meshes, Halin Graphs and Complete p-Partite Graphs
An outerplanar (also called circular, convex, one-page) drawing of an n-vertex graph G is a drawing in which the vertices are placed on a circle and each edge is drawn using one s...
Radoslav Fulek, Hongmei He, Ondrej Sýkora, ...
ISAAC
2007
Springer
141views Algorithms» more  ISAAC 2007»
14 years 1 months ago
Algorithms for the Hypergraph and the Minor Crossing Number Problems
Abstract. We consider the problems of hypergraph and minor crossing minimization, and point out a relation between these two problems which has not been exploited before. We presen...
Markus Chimani, Carsten Gutwenger