Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2013

Committee Chair or Co-Chairs

Robert Gardner

Committee Members

Robert Beeler, Debra Knisley

Abstract

In this thesis, we consider packings and coverings of various complete graphs with the 4-cycle with a pendant edge. We consider both restricted and unrestricted coverings. Necessary and sufficient conditions are given for such structures for (1) complete graphs Kv, (2) complete bipartite graphs Km,n, and (3) complete graphs with a hole K(v,w).

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

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