Decomposition of complete designs

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dc.contributor.authorSasani, Sara
dc.contributor.authorUniversity of Lethbridge. Faculty of Arts and Science
dc.contributor.supervisorKharaghani, Hadi
dc.date.accessioned2020-01-13T20:45:14Z
dc.date.available2020-01-13T20:45:14Z
dc.date.issued2019
dc.degree.levelPh.Den_US
dc.description.abstractThrough 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.identifier.urihttps://hdl.handle.net/10133/5654
dc.language.isoen_USen_US
dc.proquest.subjectMathematics [0405]en_US
dc.proquest.subjectApplied mathematics [0364]en_US
dc.proquest.subjectComputer science [0984]en_US
dc.proquestyesYesen_US
dc.publisherLethbridge, Alta. : University of Lethbridge, Dept. of Mathematics and Computer Scienceen_US
dc.publisher.departmentDepartment of Mathematics & Computer Scienceen_US
dc.publisher.facultyArts and Scienceen_US
dc.relation.ispartofseriesThesis (University of Lethbridge. Faculty of Arts and Science)en_US
dc.subjectAnalysis of meansen_US
dc.subjectAnalysis of varianceen_US
dc.subjectAssociation schemes (Combinatorial analysis)en_US
dc.subjectDecomposition (Mathematics)en_US
dc.subjectExperimental designen_US
dc.titleDecomposition of complete designsen_US
dc.typeThesisen_US
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