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» Improvement on the Decay of Crossing Numbers
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COMPGEOM
2008
ACM
15 years 1 months ago
Improved upper bounds on the crossing number
Vida Dujmovic, Ken-ichi Kawarabayashi, Bojan Mohar...
SODA
2003
ACM
103views Algorithms» more  SODA 2003»
15 years 1 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»
14 years 10 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»
15 years 2 days 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»
15 years 4 days 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...