Academic Journals Database
Disseminating quality controlled scientific knowledge

Construction of Graeco Sudoku Square Designs of Odd Orders

ADD TO MY LIST
 
Author(s): J. Subramani

Journal: Bonfring International Journal of Data Mining
ISSN 2250-107X

Volume: 02;
Issue: 02;
Start page: 37;
Date: 2012;
VIEW PDF   PDF DOWNLOAD PDF   Download PDF Original page

Keywords: Construction | Latin Squares | Orthogonal Latin Squares | Sudoku Square Designs | Sequential Method

ABSTRACT
The Sudoku puzzle typically consists of a nine-by-nine grid, in which some of the spaces contain numbers; most of the spaces are blank. The goal is to fill in the blanks with digits from 1 to 9 so that each row, each column, and each of the nine three-by-three blocks making up the grid contains just one of each of the nine digits. Recently Subramani and Ponnuswamy (2009) have considered the Sudoku puzzle as an experimental design and introduced the concept of Sudoku designs. The Sudoku designs are similar to that of latin square designs but accommodate some additional factors. The method of constructing the Sudoku square designs, analysis and applications are also given by Subramani and Ponnuswamy (2009). In this paper we have extended the Sudoku designs to Orthogonal (Graeco) Sudoku square designs in line with that of the Orthogonal (Graeco) latin square designs. A simple method of constructing Graeco Sudoku square designs (GSSD) of odd orders is presented. The proposed method is explained with the help of numerical examples.
Why do you need a reservation system?      Affiliate Program