Results 201 to 210 of about 2,206 (230)

Group divisible designs in MOLS of order ten

Designs, Codes and Cryptography, 2012
A famous open problem is to determine \(N(10)\), the cardinality of the largest set of mutually orthogonal Latin squares of order 10. It is known that \(2\leq N(10)\leq 6\). This paper proposes an interesting approach to trying to show that \(N(10)
Peter Dukes, Lea Howard
openaire   +2 more sources

A method of construction of regular group divisible designs

Biometrika, 1987
A method of construction of regular group divisible designs is described, which leads to two new designs.
openaire   +2 more sources

Signings of group divisible designs and projective planes [PDF]

Australas. J Comb., 1995
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Peter B. Gibbons, Rudolf Mathon
openaire   +1 more source

On Group Divisible Rotatable Designs

Calcutta Statistical Association Bulletin, 1976
Adhikary, Basudeb, Sinha, Bikas Kumar
openaire   +2 more sources

Group divisible designs with large block sizes

Designs, Codes and Cryptography, 2017
In this paper, the author showed that there is a \((k,\lambda_k)\)-GDD, group divisible design, of type \((q^{l+1}-q^l)^{(q^{n-l}-1)/(q-1)}\), for any prime power \(q\) and any integers \(k\), \(n\) with \(3\leq k \leq n\), where \(\lambda_k=\frac{\prod_{i=3}^{k-1}(q^n-q^{l+i-1})}{(k-2)!}\) and \(k+l\leq n+1\).
openaire   +2 more sources

Classification of divisible design graphs with at most 39 vertices

Journal of Combinatorial Designs, 2022
Leonid Shalaginov, Dmitriy Panasenko
exaly  

Matrix constructions of family (A) group divisible designs [PDF]

Australas. J Comb., 1995
A new construction of (not necessarily symmetric) group divisible designs (GDD) with \(b= 4(r- \lambda_2)\) is described (\(b\) denotes the number of blocks of the design, and \(\lambda_2\) the number of blocks through two points in different point classes; \(r\) is the number of blocks through a point). GDDs with this property are called ``family (A)''
openaire   +1 more source

New Constructions of Divisible Design Cayley Graphs

Graphs and Combinatorics, 2021
Andrea Svob, Dean Crnković, Crnković Dean   +2 more
exaly  

New versions of the Wallis-Fon-Der-Flaass construction to create divisible design graphs

Discrete Mathematics, 2022
Vladislav Kabanov
exaly  

Divisible design Cayley digraphs

Discrete Mathematics, 2020
Andrea Svob, Dean Crnković, Hadi Kharaghani   +2 more
exaly