𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The fine structures of three Latin squares

✍ Scribed by Yanxun Chang; Giovanni Lo Faro; Giorgio Nordo


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
255 KB
Volume
14
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis


Abstract

Denote by Fin(Ο…) the set of all integral pairs (t,s) for which there exist three Latin squares of order Ο… on the same set having fine structure (t,s). We determine the set Fin(Ο…) for any integer v β‰₯ 9. Β© 2005 Wiley Periodicals, Inc. J Combin Designs 14: 85–110, 2006


πŸ“œ SIMILAR VOLUMES


The recognition of symmetric latin squar
✍ Edwin C. Ihrig; Benjamin M. Ihrig πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 118 KB

## Abstract A latin square __S__ is isotopic to another latin square __S__β€² if __S__β€² can be obtained from __S__ by permuting the row indices, the column indices and the symbols in __S__. Because the three permutations used above may all be different, a latin square which is isotopic to a symmetric

Cycle structure of autotopisms of quasig
✍ Douglas S. Stones; Petr VojtΔ›chovskΓ½; Ian M. Wanless πŸ“‚ Article πŸ“… 2012 πŸ› John Wiley and Sons 🌐 English βš– 542 KB

## Abstract An autotopism of a Latin square is a triple (Ξ±, Ξ², Ξ³) of permutations such that the Latin square is mapped to itself by permuting its rows by Ξ±, columns by Ξ², and symbols by Ξ³. Let Atp(__n__) be the set of all autotopisms of Latin squares of order __n__. Whether a triple (Ξ±, Ξ², Ξ³) of pe

The existence of orthogonal diagonal Lat
✍ B. Du πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 518 KB

We prove that there exists a pair of orthogonal diagonal Latin squares of order v with missing subsquares of side n (ODLS(v,n)) for all v ~> 3n + 2 and v -n even. Further, there exists a magic square of order v with missing subsquare of side n (MS(v, n)) for all v ~> 3n + 2 and v -n even.