Degree Name

MS (Master of Science)

Program

Mathematical Sciences

Date of Award

8-2005

Committee Chair or Co-Chairs

Robert B. Gardner

Committee Members

Anant P. Godbole, Teresa W. Haynes

Abstract

In the study of triple systems, one question faced is that of finding for what order a decomposition exists. We state and prove a necessary and sufficient condition for the existence of a bicyclic mixed triple system based on the three possible partial orientations of the 3-cycle with twice as many arcs as edges. We also explore the existence of rotational and reverse mixed triple systems. Our principal proof technique applied is the difference method. Finally, this work contains a result on packing of complete mixed graphs on v vertices, Mv, with isomorphic copies of two of the mixed triples and a possible leave structure.

Document Type

Thesis - Open Access

Copyright

Copyright by the authors.

Share

COinS