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Completing partial latin squares

✍ Scribed by Richard Crittenden; Charles Vanden Eynden

Book ID
107884917
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
229 KB
Volume
28
Category
Article
ISSN
0097-3165

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πŸ“œ SIMILAR VOLUMES

Completing some Partial Latin Squares
Completing some Partial Latin Squares
✍ Tristan Denley; Roland HΓ€ggkvist πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 112 KB

We show that any partial 3r Γ—3r Latin square whose filled cells lie in two disjoint r Γ—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 Γ— 2r square, for which there is a pairing of the columns s

Completing partial latin squares with pr
Completing partial latin squares with prescribed diagonals
✍ Martin GrΓΌttmΓΌller πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 302 KB

This paper deals with completion of partial latin squares L = (lij) of order n with k cyclically generated diagonals (li+t;j+t = lij + t if lij is not empty; with calculations modulo n). There is special emphasis on cyclic completion. Here, we present results for k = 2; : : : ; 7 and odd n 6 21, and

Completing Latin squares: Critical sets
Completing Latin squares: Critical sets
✍ P. Horak; R. E. L. Aldred; H. Fleischner πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 135 KB

## Abstract It is shown that a critical set in a Latin square of order __n__β‰₯8 has to have at least $\left \lfloor {4n-8}\over {3}\right\rfloor$ elements. Β© 2002 Wiley Periodicals, Inc. J Combin Designs 10: 419–432, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1