Researcher ORCID Identifier
https://orcid.org/0009-0009-9713-143X
Graduation Year
2023
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
Shahriar Shahriari
Reader 2
Christopher Towse
Terms of Use & License Information
Rights Information
@ 2023 Mariam W Abu-Adas
Abstract
In this thesis, we analyze various types of Latin squares, their solvability and embeddings. We examine the results by M. Hall, P. Hall, Ryser and Evans first, and apply our understandings to develop an algorithm that the determines the minimum possible embedding of an unsolvable Latin square. We also study Latin squares with missing diagonals in detail.
Recommended Citation
Abu-Adas, Mariam, "Partially Filled Latin Squares" (2023). Scripps Senior Theses. 2012.
https://scholarship.claremont.edu/scripps_theses/2012
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