Displaying similar documents to “Some results in discrete mathematics and digital geometry by Professor Dragan Acketa.”

A Method for Classification of Doubly Resolvable Designs and Its Application

Zhelezova, Stela (2011)

Serdica Journal of Computing

Similarity:

This article presents the principal results of the Ph.D. thesis Investigation and classification of doubly resolvable designs by Stela Zhelezova (Institute of Mathematics and Informatics, BAS), successfully defended at the Specialized Academic Council for Informatics and Mathematical Modeling on 22 February 2010. The resolvability of combinatorial designs is intensively investigated because of its applications. This research focuses on resolvable designs with an additional...

Orthogonal Resolutions and Latin Squares

Topalova, Svetlana, Zhelezova, Stela (2013)

Serdica Journal of Computing

Similarity:

Resolutions which are orthogonal to at least one other resolution (RORs) and sets of m mutually orthogonal resolutions (m-MORs) of 2-(v, k, λ) designs are considered. A dependence of the number of nonisomorphic RORs and m-MORs of multiple designs on the number of inequivalent sets of v/k − 1 mutually orthogonal latin squares (MOLS) of size m is obtained. ACM Computing Classification System (1998): G.2.1. ∗ This work was partially supported by the Bulgarian National Science...

New Symmetric (61,16,4) Designs Invariant Under the Dihedral Group of Order 10

Landjev, Ivan, Topalova, Svetlana (1998)

Serdica Mathematical Journal

Similarity:

∗ This work has been partially supported by the Bulgarian NSF under Contract No. I-506/1995. In this note we construct five new symmetric 2-(61,16,4) designs invariant under the dihedral group of order 10. As a by-product we obtain 25 new residual 2-(45,12,4) designs. The automorphism groups of all new designs are computed.

X −1 -balance of some partially balanced experimental designs with particular emphasis on block and row-column designs

Ryszard Walkowiak (2015)

Biometrical Letters

Similarity:

This paper considers block designs and row-column designs where the information matrix C has two different nonzero eigenvalues, one of multiplicity 1 and the other of multiplicity h−1, where h is the rank of the matrix C. It was found that for each such design there exists a diagonal positive definite matrix X such that the design is X −1-balanced.

Control treatments in designs with split units generated by Latin squares

Shinji Kuriki, Iwona Mejza, Kazuhiro Ozawa, Stanisław Mejza (2014)

Biometrical Letters

Similarity:

This paper deals with two-factor experiments with split units. The whole plot treatments occur in a repeated Latin square, modified Latin square or Youden square, while subplot treatments occur in a block design within the whole plots. The statistical properties of the considered designs are examined. Special attention is paid to the case where one of the treatments is an individual control or an individual standard treatment. In addition, we give a brief overview of work on the design...