Degree Type
Dissertation
Date of Award
2015
Degree Name
Doctor of Philosophy
Department
Mathematics
First Advisor
Sung Yell Song
Abstract
We examine the designs produced by different types of difference families. Difference families have long been known to produce designs with well behaved automorphism groups. These designs provide the elegant solutions desired for applications. In this work, we explore the following question: Does every (named) design have a difference family analogue? We answer this question in the affirmative for partial geometric designs.
DOI
https://doi.org/10.31274/etd-180810-4068
Copyright Owner
Kathleen Elizabeth Nowak
Copyright Date
2015
Language
en
File Format
application/pdf
File Size
95 pages
Recommended Citation
Nowak, Kathleen Elizabeth, "Partial geometric designs and difference families" (2015). Graduate Theses and Dissertations. 14519.
https://lib.dr.iastate.edu/etd/14519
