Rebecca J. Stones

activity

20152019

most citedEnumerating partial Latin rectangles

4 citations · 11 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.CO2019★ 1 cited

Computing autotopism groups of partial Latin rectangles: a pilot study

Rebecca J. Stones, Raúl M. Falcón, Daniel Kotlar +1

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 (…

math.CO2019★ 4 cited

Enumerating partial Latin rectangles

Raúl M. Falcón, Rebecca J. Stones

This paper deals with distinct computational methods to enumerate the set $PLR (r, s, n; m)$ of $r \times s$ partial Latin rectangles on $n$ symbols with $m$ non-empty cells.…

math.CO2017

Covers and partial transversals of Latin squares

Darcy Best, Trent Marbach, Rebecca J. Stones +1

We define a cover of a Latin square to be a set of entries that includes at least one representative of each row, column and symbol. A cover is minimal if it does not contain any s…

math.CO2015★ 3 cited

Cartesian product graphs and $k$ -tuple total domination

Adel P. Kazemi, Behnaz Pahlavsay, Rebecca J. Stones

A $k$ -tuple total dominating set ( $k$ TDS) of a graph $G$ is a set $S$ of vertices in which every vertex in $G$ is adjacent to at least $k$ vertices in $S$ ; the minimum size of a $k…

Computing autotopism groups of partial Latin rectangles: a pilot study

Enumerating partial Latin rectangles

Covers and partial transversals of Latin squares

Cartesian product graphs and k-tuple total domination

Cartesian product graphs and $k$ -tuple total domination