Degree Year

2013

Document Type

Thesis

Degree Name

Bachelor of Arts

Department

Mathematics

Advisor(s)

Robert Bosch

Keywords

Ramsey numbers for cycles, Generalized Ramsey numbers, Ramsey theory, Monochromatic cycles, Graph theory, Combinatorics

Abstract

Inspired by an investigation of Ramsey theory, this paper aims to clarify in further detail a number of results regarding the existence of monochromatic cycles in complete graphs whose edges are colored red or blue. The second half focuses on a proof given by Gyula Károlyi and Vera Rosta for the solution of all R(Cn,Ck).

Included in

Mathematics Commons

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