In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of qabstractq graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.Observe that we can translate Ia#39; along l into a position where the number of edges in Ea#39; that lie completely to the left and completely to the right of la#39; is roughly the same. In particular, we can translate Ia#39; along I such that the number of edges in Ea#39; anbsp;...

Title | : | Thirty Essays on Geometric Graph Theory |

Author | : | János Pach |

Publisher | : | Springer Science & Business Media - 2012-12-15 |

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