MS (Master of Science)
Date of Award
Committee Chair or Co-Chairs
Robert B. Gardner
Anant P. Godbole, Teresa W. Haynes
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.
Thesis - unrestricted
Bobga, Benkam Benedict, "Bicyclic Mixed Triple Systems." (2005). Electronic Theses and Dissertations. Paper 1043. https://dc.etsu.edu/etd/1043
Copyright by the authors.