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CORR

2010

Springer

2010

Springer

Given an n-vertex graph G, a drawing of G in the plane is a mapping of its vertices into points of the plane, and its edges into continuous curves, connecting the images of their endpoints. A crossing in such a drawing is a point where two such curves intersect. In the Minimum Crossing Number problem, 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. This is a very basic problem in topological graph theory, that has received a significant amount of attention, but is still poorly understood algorithmically. The best currently known efficient algorithm produces drawings with O(log2 n)

Related Content

Added |
09 Dec 2010 |

Updated |
09 Dec 2010 |

Type |
Journal |

Year |
2010 |

Where |
CORR |

Authors |
Julia Chuzhoy, Yury Makarychev, Anastasios Sidiropoulos |

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