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ENDM
2008
101views more  ENDM 2008»
14 years 9 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
14 years 4 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»
14 years 9 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
15 years 3 months 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»
15 years 3 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