Bicyclic Mixed Triple Systems.

<p>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 <em>bicyclic mixed triple system</em> based on the three possible partial orientations of the 3-cycle with twice as many arcs as edges. We also explore the existence of <em>rotational</em> and <em>reverse mixed triple systems</em>. Our principal proof technique applied is the <em>difference method</em>. Finally, this work contains a result on <em>packing</em> of <em>complete mixed graphs</em> on <em>v</em> vertices, <em>M_v</em>, with isomorphic copies of two of the mixed triples and a possible <em>leave</em> structure.</p>

Name thesis:degree_name

MS (Master of Science)

Level thesis:degree_level

Thesis - unrestricted

Discipline thesis:degree_discipline

Mathematical Sciences

Year dc:date.issued

2005

Author dc:creator

• Bobga, Benkam Benedict

• difference triples
• packings
• automorphisms
• reverse triples
• triple systems
• mixed graphs
• rotational
• bicyclic
• Applied Mathematics
• Physical Sciences and Mathematics

Statement dc:rights

• Copyright by the authors.

Repository record dc:identifier

https://dc.etsu.edu/etd/1043

OAI identifier oai:identifier

oai:dc.etsu.edu:etd-2200