Generalized Latin squares and their defining sets
✍ Scribed by Karola Mészáros
- Book ID
- 108113753
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 256 KB
- Volume
- 308
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract It is shown that a critical set in a Latin square of order __n__≥8 has to have at least $\left \lfloor {4n-8}\over {3}\right\rfloor$ elements. © 2002 Wiley Periodicals, Inc. J Combin Designs 10: 419–432, 2002; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1
## Abstract It is shown that each critical set in a Latin square of order __n__ > 6 has to have at least $\left\lfloor {7n-\sqrt{n}-20}\over{2}\right\rfloor$ empty cells. © 2006 Wiley Periodicals, Inc. J Combin Designs 15: 77–83, 2007
In a given graph G, a set of vertices S with an assignment of colors is said to be a defining set of the vertex coloring of G, if there exists a unique extension of the colors of S to a z(G)coloring of the vertices of G. The concept of a defining set has been studied, to some extent, for block desig