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» Improvement on the Decay of Crossing Numbers
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COMPGEOM
2008
ACM
13 years 8 months ago
Improved upper bounds on the crossing number
Vida Dujmovic, Ken-ichi Kawarabayashi, Bojan Mohar...
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
13 years 7 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
JGT
2010
113views more  JGT 2010»
13 years 4 months ago
Crossing numbers of imbalanced graphs
The crossing number, cr(G), of a graph G is the least number of crossing points in any drawing of G in the plane. According to the Crossing Lemma of Ajtai, Chv´atal, Newborn, Sze...
János Pach, József Solymosi, G&aacut...
DCG
2006
96views more  DCG 2006»
13 years 6 months ago
k-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of Kn
We use circular sequences to give an improved lower bound on the minimum number of ( k)
József Balogh, Gelasio Salazar
ENDM
2008
101views more  ENDM 2008»
13 years 6 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...