973 search results - page 4 / 195 » New Bounds on Crossing Numbers |
DCG
2006
14 years 11 months ago
2006
We use circular sequences to give an improved lower bound on the minimum number of ( k)
JGT
2010
14 years 10 months ago
2010
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...
SODA
2003
ACM
15 years 1 months ago
2003
ACM
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...
ENDM
2008
14 years 11 months ago
2008
For n 27 we present exact values for the maximum number h(n) of halving lines and h(n) of halving pseudolines, determined by n points in the plane. For this range of values of n ...
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ENDM
2008
14 years 11 months ago
2008
We show that there is a constant > 0 such that, for any set P of n 5 points in general position in the plane, a crossing-free geometric graph on P that is chosen uniformly at...