On the Topic of Ramsey Theory

Senior Thesis

Abstract

Ramsey theory studies conditions that are necessary so that we may preserve “order.” Often, we will start with a large structure, and we will break it into finitely many classes. Our typical theorems will say that if the initial structure is large enough, then one of the classes must contain a copy of the original structure. Usually, we will find the smallest number of elements required so that this property is guaranteed to occur; this is often a difficult, but illuminating, problem.

Attributes

Attribute NameValues
Created by
  • smeehan1

Contributor
  • Sean Meehan

  • Advisor: David Galvin

Subject
  • Mathematics

Bibliographic Citation
  • Undergraduate Thesis, University of Notre Dame, April 2013.

Language
  • English

Source
  • Ramsey Theory Thesis.pdf

Publisher
  • University of Notre Dame

Record Visibility Public

Digital Object Identifier

doi:10.7274/R0F769GQ

This DOI is the best way to cite this senior thesis.

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