Publication Date

2007

Document Type

Dissertation/Thesis

First Advisor

Blau, Harvey I., 1942-

Degree Name

Ph.D. (Doctor of Philosophy)

Legacy Department

Department of Mathematical Sciences

LCSH

Algebra; Abstract--Computer simulation

Abstract

It is shown that given a standard, integral, P-polynomial table algebra with integer dual degrees, with valency k > 2 and with intersection array that has one column repeated g times, then the diameter d is bounded by a function of (d —g) and k. Also a classification of all homogeneous, monotonic, standard, P-polynomial table algebras is shown, and it is determined which of these table algebras are integral and have integer dual degrees. In particular, it is shown that this is the case only if d = 2. It is noted that some of these algebras come from association schemes and some do not.

Comments

Includes bibliographical references (leaf [105]).

Extent

vi, 122 pages

Language

eng

Publisher

Northern Illinois University

Rights Statement

In Copyright

Rights Statement 2

NIU theses are protected by copyright. They may be viewed from Huskie Commons for any purpose, but reproduction or distribution in any format is prohibited without the written permission of the authors.

Media Type

Text

Download

Share

COinS