2026-09-18T21:49:52.312244300Zhttps://opus.uleth.ca/server/oai/requestoai:opus.uleth.ca:10133/56542020-01-17T19:53:46Zcom_10133_3346com_10133_1com_10133_296col_10133_3347col_10133_298
ULethbridge OPUS Repository
supervisor
Kharaghani, Hadi
author
Sasani, Sara
author
University of Lethbridge. Faculty of Arts and Science
2020-01-13T20:45:14Z
2020-01-13T20:45:14Z
2019
https://hdl.handle.net/10133/5654
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
Analysis of means
Analysis of variance
Association schemes (Combinatorial analysis)
Decomposition (Mathematics)
Experimental design
Decomposition of complete designs
Thesis
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URL
http://localhost:4000/bitstreams/079745b4-38bb-46e8-a24d-747a012c9ac6/download
File
MD5
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application/pdf
Sasani_Sara_PHD_2019.pdf
URL
http://localhost:4000/bitstreams/512ea6c9-7652-42b1-aee6-536298683ee5/download
File
MD5
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text/plain
Sasani_Sara_PHD_2019.pdf.txt