24 citations · 27 across the 7 of their papers we have counts for
5 papers · 1 filter
Small Latin arrays have a near transversal
Darcy Best, Kyle Pula, Ian M. Wanless
A Latin array is a matrix of symbols in which no symbol occurs more than once within a row or within a column. A diagonal of an array is a selection of cells taken…
Incidence properties of cosets in loops
Michael Kinyon, Kyle Pula, Petr Vojtechovsky
We study incidence properties among cosets of finite loops, with emphasis on well-structured varieties such as antiautomorphic loops and Bol loops. While cosets in groups are eithe…
Products of all elements in a loop and a framework for non-associative analogues of the Hall-Paige conjecture
Kyle Pula
For a finite loop , let be the set of elements that can be represented as a product containing each element of precisely once. Motivated by the recent proof of the H…
A Generalization of Plexes of Latin Squares
Kyle Pula
A -plex of a latin square is a collection of cells representing each row, column, and symbol precisely times. The classic case of is more commonly known as a transvers…
Gallai Multigraphs
Kyle Pula
A complete edge-colored graph or multigraph is called Gallai if it lacks rainbow triangles. We give a construction of all finite Gallai multigraphs.