65 citations · 165 across the 33 of their papers we have counts for
3 papers · 1 filter
On the 2-colored crossing number
Oswin Aichholzer, Ruy Fabila-Monroy, Adrian Fuchs +4
Let be a straight-line drawing of a graph. The rectilinear 2-colored crossing number of is the minimum number of crossings between edges of the same color, taken over all p…
An Ongoing Project to Improve the Rectilinear and the Pseudolinear Crossing Constants
Oswin Aichholzer, Frank Duque, Ruy Fabila-Monroy +2
A drawing of a graph in the plane is {\it pseudolinear} if the edges of the drawing can be extended to doubly-infinite curves that form an arrangement of pseudolines, that is, any…
Counting the Number of Crossings in Geometric Graphs
Frank Duque, Ruy Fabila-Monroy, César Hernández-Vélez +1
A geometric graph is a graph whose vertices are points in general position in the plane and its edges are straight line segments joining these points. In this paper we give an $O(n…