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Carleton University - School of Computer Science
Undergraduate Honours Project

Fall 2010
Angle Constrained Spanners: An Implementation

Dustin Jackson



ABSTRACT

Computation Geometry is a growing discipline that has countless real-world applications. This report is focused on Spanner Graphs and their potential. Problems of many different flavours can be directly modeled using Spanner graphs. Some of these applications are explored in this report including the Delaunay Triangulation and approximating Minimum Spanning Trees. Furthermore, an implementation of a theta-angle constrained Spanner graph is demonstrated. It is intended that this report provides a general understanding of Geometric Networks, Well Separated Pair Decomposition, and Spanner Graphs.