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On Hamilton Cycles and Hamilton Cycle Decompositions of Graphs based on GroupsDean, Matthew Lee Youle Unknown Date (has links)
No description available.
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Combinatorial methods in drug design: towards Modulating protein-protein InteractionsLong, Stephen M. Unknown Date (has links)
No description available.
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On hamilton cycles and manilton cycle decompositions of graphs based on groupsDean, Matthew Lee Youle Unknown Date (has links)
A Hamilton cycle is a cycle which passes through every vertex of a graph. A Hamilton cycle decomposition of a k-regular graph is defined as the partition of the edge set into Hamilton cycles if k is even, or a partition into Hamilton cycles and a 1-factor, if k is odd. Consequently, for 2-regular or 3-regular graphs, finding a Hamilton cycle decompositon is equilvalent to finding a Hamilton cycle. Two classes of graphs are studies in this thesis and both have significant symmetry. The first class of graphs is the 6-regular circulant graphs. These are a king of Cayley graph. Given a finite group A and a subset S ⊆ A, the Cayley Graph Cay(A,S) is the simple graph with vertex set A and edge set {{a, as}|a ∈ A, s ∈ S}. If the group A is cyclic then the graph is called a circulant graph. This thesis proves two results on 6-regular circulant graphs: 1. There is a Hamilton cycle decomposition of every 6-regular circulant graph Cay(Z[subscript n],S) in which S has an element of order n; 2. There is a Hamilton cycle decomposition of every connected 6-regular circulant graph of odd order. The second class of graphs examined in this thesis is a futher generalization of the Generalized Petersen graphs. The Petersen graph is well known as a highly symmetrical graph which does not contain a Hamilton cycle. In 1983 Alspach completely determined which Generalized Petersen graphs contain Hamilton cycles. In this thesis we define a larger class of graphs which includes the Generalized Petersen graphs as a special case. We call this larger class spoked Cayley graphs. We determine which spoked Cayley graphs on Abelian groups are Hamiltonian. As a corollary, we determine which are 1-factorable.
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Combinatorial methods in drug design: towards Modulating protein-protein InteractionsLong, Stephen M. Unknown Date (has links)
No description available.
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Combinatorial methods in drug design: towards Modulating protein-protein InteractionsLong, Stephen M. Unknown Date (has links)
No description available.
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146 |
On hamilton cycles and manilton cycle decompositions of graphs based on groupsDean, Matthew Lee Youle Unknown Date (has links)
A Hamilton cycle is a cycle which passes through every vertex of a graph. A Hamilton cycle decomposition of a k-regular graph is defined as the partition of the edge set into Hamilton cycles if k is even, or a partition into Hamilton cycles and a 1-factor, if k is odd. Consequently, for 2-regular or 3-regular graphs, finding a Hamilton cycle decompositon is equilvalent to finding a Hamilton cycle. Two classes of graphs are studies in this thesis and both have significant symmetry. The first class of graphs is the 6-regular circulant graphs. These are a king of Cayley graph. Given a finite group A and a subset S ⊆ A, the Cayley Graph Cay(A,S) is the simple graph with vertex set A and edge set {{a, as}|a ∈ A, s ∈ S}. If the group A is cyclic then the graph is called a circulant graph. This thesis proves two results on 6-regular circulant graphs: 1. There is a Hamilton cycle decomposition of every 6-regular circulant graph Cay(Z[subscript n],S) in which S has an element of order n; 2. There is a Hamilton cycle decomposition of every connected 6-regular circulant graph of odd order. The second class of graphs examined in this thesis is a futher generalization of the Generalized Petersen graphs. The Petersen graph is well known as a highly symmetrical graph which does not contain a Hamilton cycle. In 1983 Alspach completely determined which Generalized Petersen graphs contain Hamilton cycles. In this thesis we define a larger class of graphs which includes the Generalized Petersen graphs as a special case. We call this larger class spoked Cayley graphs. We determine which spoked Cayley graphs on Abelian groups are Hamiltonian. As a corollary, we determine which are 1-factorable.
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Iterative processes generating dense point setsAmbrus, Gergely, Bezdek, András, January 2006 (has links) (PDF)
Thesis(M.S.)--Auburn University, 2006. / Abstract (p.34-35). Vita. Includes bibliographic references.
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An explication of some recent mathematical approaches to music analysisLord, Charles Hubbard. January 1978 (has links)
Thesis (Ph. D.)--Indiana University, 1978. / Typescript. Vita. Includes bibliographical references (leaves 257-261). Also issued in print.
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Pseudoelementare Relationen und Aussagen vom Typ des Bernstein'schen ÄquivalenzsatzesVon der Twer, Tassilo. January 1977 (has links)
Inaug.-Diss.- Bonn. / Includes bibliographical references (p. 58).
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The global structure of iterated function systemsSnyder, Jason Edward. Urbaʹnski, Mariusz, January 2009 (has links)
Thesis (Ph. D.)--University of North Texas, May, 2009. / Title from title page display. Includes bibliographical references.
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