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Artículo
Computing autotopism groups of partial Latin rectangles: A pilot study
(Wiley, 2019)
Computing the autotopism group of a partial Latin rectangle can be performed in a variety of ways. This pilot study has two aims: (a) to compare these methods experimentally, and (b) to identify the design goals one ...
Artículo
A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
(AIMS Press, 2020)
This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. Particularly, we prove that the sizes of these critical sets only depend on both the main class of ...
Artículo
Partial Latin rectangle graphs and autoparatopism groups of partial Latin rectangles with trivial autotopism groups
(Elsevier, 2017)
An $r \times s$ partial Latin rectangle $(l_{ij})$ is an $r \times s$ matrix containing elements of $\{1,2,\ldots,n\} \cup \{\cdot\}$ such that each row and each column contain at most one copy of any symbol in $\{1,2,\ldots,n\}$. ...