✦ LIBER ✦

Embedding partial idempotent Latin squares

✍ Scribed by Charles C Lindner

Publisher: Elsevier Science
Year: 1971
Tongue: English
Weight: 279 KB
Volume: 10
Category: Article
ISSN: 0097-3165
DOI: 10.1016/0097-3165(71)90027-6

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A finite partial idempotent latin cube c

A finite partial idempotent latin cube can be embedded in a finite idempotent latin cube

✍ Charles C Lindner 📂 Article 📅 1976 🏛 Elsevier Science 🌐 English ⚖ 308 KB

Incomplete conjugate orthogonal idempote

Incomplete conjugate orthogonal idempotent latin squares

✍ F.E Bennett; L Zhu 📂 Article 📅 1987 🏛 Elsevier Science 🌐 English ⚖ 914 KB

Let us denote by COILS(v) a (3, 2, 1)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). We shall investigate the existence of ICOILS(v, n). The construction of an ICOILS(8, 2) has already been instrumental in the construction

Finite embedding theorems for partial La

Finite embedding theorems for partial Latin squares, quasi-groups, and loops

✍ Charles C Lindner 📂 Article 📅 1972 🏛 Elsevier Science 🌐 English ⚖ 409 KB

Completing some Partial Latin Squares

✍ Tristan Denley; Roland Häggkvist 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 112 KB

We show that any partial 3r ×3r Latin square whose filled cells lie in two disjoint r ×r sub-squares can be completed. We do this by proving the more general result that any partial 3r by 3r Latin square, with filled cells in the top left 2r × 2r square, for which there is a pairing of the columns s

Embedding a latin square in a pair of or

Embedding a latin square in a pair of orthogonal latin squares

✍ 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

Further results on incomplete (3,2,1)- c

Further results on incomplete (3,2,1)- conjugate orthogonal idempotent Latin squares

✍ F.E. Bennett; Lisheng Wu; L. Zhu 📂 Article 📅 1990 🏛 Elsevier Science 🌐 English ⚖ 878 KB

Let us denote by COILS(v) a (3,2, l)-conjugate orthogonal idempotent Latin square of order v, and by ICOILS(v, n) an incomplete COILS(v) missing a sub-COILS(n). A necessary condition for the existence of an ICOILS(v, and the necessary condition for its existence has recently been shown by the auth