Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2005

Committee Chair or Co-Chairs

Teresa W. Haynes

Committee Members

Robert B. Gardner, Debra J. Knisley

Abstract

The Queen’s domination problem has a long and rich history. The problem can be simply stated as: What is the minimum number of queens that can be placed on a chessboard so that all squares are attacked or occupied by a queen? The problem has been expanded to include not only the standard 8x8 board, but any rectangular m×n sized board. In this thesis, we consider both paired and total domination versions of this renowned problem.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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