On the Crossing Numbers of Complete Graphs

In this thesis we prove two main results. The Triangle Conjecture asserts that the convex hull of any optimal rectilinear drawing of <em>K<sub>n</sub></em> must be a triangle (for <em>n</em> &ge; 3). We prove that, for the larger class of pseudolinear dr...

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Bibliographic Details
Main Author: Pan, Shengjun
Format: Others
Language:en
Published: University of Waterloo 2006
Subjects:
Online Access:http://hdl.handle.net/10012/1174