4 citations · 4 across the 4 of their papers we have counts for
5 papers
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…
Geometry on Optimal Problem
Denys Shcherbak, Natalya Pya Arnqvist
We introduce an algorithm which can be directly used to feasible and optimum search in linear programming. Starting from an initial point the algorithm iteratively moves a point in…
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…