Latin Squares and Applications

Intercalates and the maximum number of intercalates are presented. We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogona...

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Main Author: Ghebremicael, Aman
Format: Others
Published: OpenSIUC 2008
Subjects:
Online Access:https://opensiuc.lib.siu.edu/dissertations/266
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1266&context=dissertations
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spelling ndltd-siu.edu-oai-opensiuc.lib.siu.edu-dissertations-12662018-12-20T04:28:31Z Latin Squares and Applications Ghebremicael, Aman Intercalates and the maximum number of intercalates are presented. We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte designs, are introduced and proof for the existence of such orthogonal Latin squares of prime orders is also presented. 2008-01-01T08:00:00Z text application/pdf https://opensiuc.lib.siu.edu/dissertations/266 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1266&context=dissertations Dissertations OpenSIUC Intercalates Latin squares
collection NDLTD
format Others
sources NDLTD
topic Intercalates
Latin squares
spellingShingle Intercalates
Latin squares
Ghebremicael, Aman
Latin Squares and Applications
description Intercalates and the maximum number of intercalates are presented. We introduced partially intercalate complete Latin squares and results on the existence of some infinite families as well as Latin squares of smaller size is given. The second part of our work summarizes the main results on orthogonal Latin squares. Special type of Latin squares, gerechte designs, are introduced and proof for the existence of such orthogonal Latin squares of prime orders is also presented.
author Ghebremicael, Aman
author_facet Ghebremicael, Aman
author_sort Ghebremicael, Aman
title Latin Squares and Applications
title_short Latin Squares and Applications
title_full Latin Squares and Applications
title_fullStr Latin Squares and Applications
title_full_unstemmed Latin Squares and Applications
title_sort latin squares and applications
publisher OpenSIUC
publishDate 2008
url https://opensiuc.lib.siu.edu/dissertations/266
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=1266&context=dissertations
work_keys_str_mv AT ghebremicaelaman latinsquaresandapplications
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