This Is AuburnElectronic Theses and Dissertations

Browsing Auburn Theses and Dissertations by Author "Johnson, Pete"

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The Complete Solution of the Intersection Problem for Maximum Packings of K_n with Triples 

Holmes, Amber (2018-07-03)
In the late 1980's the intersection problem for maximum packings of K_n with triples was solved by Hoffman, Lindner, and Quattrocchi. Their combined results showed that for any n = i mod(6) such that i in { 0, 2, 4, 5} the ...

Cycle Systems 

Sehgal, Nidhi (2012-01-18)
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 ...

A New Solution to the Intersection Problem of Mendelsohn Triple Systems 

Watson, Rachel (2012-03-29)
The thesis provides an alternate solution to the intersection problem, in which the goal is to determine the set of all values for which there exists a pair of Mendelsohn Triple Systems having this exact value of cyclic ...