Chapter Two concerns a strong form of the dual of Sylvester's problem in the affine plane. The main result of the chapter is that in an arrangement of n lines in the affine plane, not all of which are parallel, and not all of which pass through a common point, there must be at least 2n-37 affine ordinary points as long as n an 6.The real question of course is whether you could go much further than I have, with a sophisticated computer search. ... Every simple pseudoline arrangement is isomorphic to a wiring diagram W such that we start with n horizontal wires, and atanbsp;...

Title | : | Sylvester-Gallai Results and Other Contributions to Combinatorial and Computational Geometry |

Author | : | |

Publisher | : | ProQuest - 2008 |

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