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 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.

Name thesis:degree_name

Doctor of Philosophy

Level thesis:degree_level

Campus Only Dissertation

Discipline thesis:degree_discipline

Mathematics

Year

2008

Author dc:creator

• Ghebremicael, Aman

Contributors dc:contributor

• Wallis, Walter

• Intercalates
• Latin squares

Repository record dc:identifier

https://opensiuc.lib.siu.edu/dissertations/266

OAI identifier oai:identifier

oai:opensiuc.lib.siu.edu:dissertations-1266