A central approach to bound the number of crossings in a generalized configuration

Author:

Ábrego Bernardo M.,Fernández–Merchant Silvia,Leaños Jesús,Salazar Gelasio

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference9 articles.

1. B.M. Ábrego, J. Balogh, S. Fernández-Merchant, J. Leaños, and G. Salazar. An extended lower bound on the number of (⩽k)-edges to generalized configurations of points and the pseudolinear crossing number of Kn. Submitted (2006)

2. A lower bound for the rectilinear crossing number;Ábrego;Graphs and Comb.,2005

3. Geometric drawings of Kn with few crossings;Ábrego;J. Combin. Theory Ser. A,2007

4. B.M. Ábrego, S. Fernández-Merchant, J. Leaños, and G. Salazar. The maximum number of halving lines and the rectilinear crossing number of Kn for n⩽27. Preprint (2007)

5. O. Aichholzer, J. García, D. Orden, and P. Ramos, New lower bounds for the number of (⩽k)-edges and the rectilinear crossing number of Kn. Discrete and Comp. Geom., to appear

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2. On Compatible Matchings;WALCOM: Algorithms and Computation;2021

3. On the 2-Colored Crossing Number;Lecture Notes in Computer Science;2019

4. Crossing Numbers and Combinatorial Characterization of Monotone Drawings of $$K_n$$ K n;Discrete & Computational Geometry;2014-11-15

5. The Rectilinear Crossing Number of K n : Closing in (or Are We?);Thirty Essays on Geometric Graph Theory;2012-10-29

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