In this dissertation the author has found the necessary and sufficient conditions for obtaining a 6-cycle system of the Cartesian product of two complete graphs covering 2-paths in the corresponding bipartite graph. She has found the maximum fair 6-cycle system as well as 6-cycle system of the Cartesian product of two complete graphs. As a part of this dissertation, the author has also found the necessary and sufficient conditions required to obtain a 4-cycle system of complete graph on n vertices with a nearly 2-regular leave. Finally the author has worked on the problem of finding a 4-cycle system of the line graph of a complete multipartite graph.
|Advisor:||Rodger, C. A.|
|School Location:||United States -- Alabama|
|Source:||DAI-B 74/04(E), Dissertation Abstracts International|
|Subjects:||Applied Mathematics, Mathematics, Theoretical Mathematics|
|Keywords:||Cartesian products, Cycle systems, Line graphs|
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