In many respects, crossing minimization is an exceptional problem in the wide range of optimization problems arising in automatic graph drawing.

In many respects, crossing minimization is an exceptional problem in the wide range of optimization problems arising in automatic graph drawing.

A crossing in such a drawing is a point where the drawings of two edges intersect, and the crossing number of a graph G, denoted by OPTcr(G), is the smallest ...

Minimum Crossing Number problem. We also obtain im- proved approximation algorithms for special cases where the optimal solution for the Minimum Planarization.

Planarization methods are techniques used to transform a non-planar graph into a planar graph, enabling it to be drawn on a plane without edge crossings.

Planarization may be performed by using any method to find a drawing (with crossings) for the given graph, and then replacing each crossing point by a new ...

Oct 19, 2010 · The goal is to find a drawing of G with minimum number of crossings. The value of the optimal solution, denoted by OPT, is called the graph's crossing number.

2 Crossings and Planarization · C. Buchheim, Markus Chimani, +2 authors. P. Mutzel · Published 2004 · Physics.

Apr 22, 2016 · A planarization of a nonplanar graph G is a planar graph obtained from G by drawing G into the plane and replacing the crossings by dummy vertices of degree 4.

Minimum Crossing Number problem. We also obtain im- proved approximation algorithms for special cases where the optimal solution for the Minimum Planarization.