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A polynomial embedding of pairs of orthogonal partial Latin squares

✍ Scribed by Donovan, Diane M.; Şule Yazıcı, Emine

Book ID
122321569
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
266 KB
Volume
126
Category
Article
ISSN
0097-3165

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Embedding a latin square in a pair of or
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✍ Peter Jenkins 📂 Article 📅 2006 🏛 John Wiley and Sons 🌐 English ⚖ 123 KB

## Abstract In this paper, it is shown that a latin square of order __n__ with __n__ ≥ 3 and __n__ ≠ 6 can be embedded in a latin square of order __n__^2^ which has an orthogonal mate. A similar result for idempotent latin squares is also presented. © 2005 Wiley Periodicals, Inc. J Combin Designs 1

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✍ David A. Drake; G.H.J. van Rees; W.D. Wallis 📂 Article 📅 1999 🏛 Elsevier Science 🌐 English ⚖ 444 KB

Maximal sets of s mutually orthogonal Latin squares of order v are constructed for infinitely many new pairs (s,v).