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Lattice Paths

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Ali_Irha.pdf (1.43 MB)

Date

2022-08-24

Authors

Ali, Irha

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University of Waterloo

Abstract

This thesis is a survey of some of the well known results in lattice path theory. Chapter 1 looks into the history of lattice paths. That is, when it began and how it was popularized. Chapter 3 focuses on general lattices and lattice paths. It later looks into different types of properties of some lattice paths. This is divided into two types: quarter-plane and self-avoiding walks. Chapter 4 and 5 explore some of the properties of quarter-plane walks and self-avoiding walks, respectively.

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http://hdl.handle.net/10012/18630

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Combinatorics and Optimization