4 citations · 4 across the 6 of their papers we have counts for
7 papers
Resolvable Triple Arrays
Alexey Gordeev, Lars-Daniel Öhman
We present a new construction of triple arrays by combining a symmetric 2-design with a resolution of another 2-design. This is the first general method capable of producing non-ex…
Near Triple Arrays
Alexey Gordeev, Klas Markström, Lars-Daniel Öhman
We introduce near triple arrays as binary row-column designs with at most two consecutive values for the replication numbers of symbols, for the intersection sizes of pairs of rows…
Enumeration of Row-Column Designs
Gerold Jäger, Klas Markström, Lars-Daniel Öhman +1
We computationally completely enumerate a number of types of row-column designs up to isotopism, including double, sesqui and triple arrays as known from the literature, and two ne…
When is a planar rod configuration infinitesimally rigid?
Signe Lundqvist, Klara Stokes, Lars-Daniel Öhman
We provide a way of determining the infinitesimal rigidity of rod configurations realizing a rank two incidence geometry in the Euclidean plane. We model each rod with a cone over…
Enumeration of Sets of Mutually Orthogonal Latin Rectangles
Gerold Jäger, Klas Markström, Denys Shcherbak +1
We study sets of mutually orthogonal Latin rectangles (MOLR), and a natural variation of the concept of self-orthogonal Latin squares which is applicable on larger sets of mutually…
Small Youden Rectangles, Near Youden Rectangles, and Their Connections to Other Row-Column Designs
Gerold Jäger, Klas Markström, Denys Shcherbak +1
In this paper we first study Youden rectangles of small orders. We have enumerated all Youden rectangles for a range of small parameter values, excluding the almost sq…
Triples of Orthogonal Latin and Youden Rectangles For Small Orders
Gerold Jäger, Klas Markström, Lars-Daniel Öhman +1
We have performed a complete enumeration of non-isotopic triples of mutually orthogonal Latin rectangles for . Here we will present a census of such tri…