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dc.contributor.supervisor Kharaghani, Hadi
dc.contributor.author Sasani, Sara
dc.contributor.author University of Lethbridge. Faculty of Arts and Science
dc.date.accessioned 2020-01-13T20:45:14Z
dc.date.available 2020-01-13T20:45:14Z
dc.date.issued 2019
dc.identifier.uri https://hdl.handle.net/10133/5654
dc.description.abstract Through six chapters, the concept of decomposing the complete design is demonstrated. Group divisible designs, symmetric designs, strongly regular graphs, and association schemes are examples of the combinatorial objects that complete designs are decomposed into. Reconstructing McFarland designs leads to the existence of sets of designs with disjoint incidence matrices whose sum is the complete design. The existence of infinite classes of symmetric association schemes follows from the decomposition. Applying a similar technique on the Spence designs provides sets of designs all sharing the same complete tripartite graphs. By appropriately splitting the designs a decomposition of the complete design is obtained leading to an infinite class of non-commutative association schemes. A final attempt is made to combine the constructed decomposition with specific classes of balanced generalized weighing matrices. en_US
dc.language.iso en_US en_US
dc.publisher Lethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Science en_US
dc.relation.ispartofseries Thesis (University of Lethbridge. Faculty of Arts and Science) en_US
dc.subject Analysis of means en_US
dc.subject Analysis of variance en_US
dc.subject Association schemes (Combinatorial analysis) en_US
dc.subject Decomposition (Mathematics) en_US
dc.subject Experimental design en_US
dc.title Decomposition of complete designs en_US
dc.type Thesis en_US
dc.publisher.faculty Arts and Science en_US
dc.publisher.department Department of Mathematics & Computer Science en_US
dc.degree.level Ph.D en_US
dc.proquest.subject Mathematics [0405] en_US
dc.proquest.subject Applied mathematics [0364] en_US
dc.proquest.subject Computer science [0984] en_US
dc.proquestyes Yes en_US


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