Degree Type

Dissertation

Date of Award

2012

Degree Name

Doctor of Philosophy

Department

Mathematics

First Advisor

Ryan Martin

Abstract

This thesis examines the edit distance function for principal hereditary properties of the form Forb(K2,t), the hereditary property of graphs containing no induced bipartite subgraph on 2 and t vertices. It explores applications of several methods from the literature for determining these edit distance functions, and also constructions from classical graph theory problems that can be used to create colored regularity graphs leading to upper bounds on the functions. Results include the entire edit distance function when t=3 and 4, as well as bounds for larger values of t, including the result that the maximum value of the function occurs over a nondegenerate interval of values for odd t.

Copyright Owner

Tracy Jean McKay

Language

en

Date Available

2012-10-31

File Format

application/pdf

File Size

61 pages

Included in

Mathematics Commons

Share

COinS