Latin Squares and Their Applications, Second edition offers a long-awaited update and
reissue of this seminal account of the subject. The revision retains foundational, original …

In 2008, Cavenagh and Dr\'{a} pal, et al, described a method of constructing Latin trades
using groups. The Latin trades that arise from this construction are entry-transitive (that is …

Baker and Wang define the so-called Bernardi action of the sandpile group of a ribbon
graph on the set of its spanning trees. This potentially depends on a fixed vertex of the graph …

We consider complements of standard Seifert surfaces of special alternating links. On these
handlebodies, we use Honda's method to enumerate those tight contact structures whose …

Let $\mathcal {G} $ be a properly face 2-coloured (say black and white)\break piecewise-
linear triangulation of the sphere with vertex set $ V $. Consider the abelian group $\mathcal …

A spherical latin trade is a partial latin square associated with a face 2-colourable
triangulation of the sphere. A latin trade W embeds into an abelian group G if the Cayley …

We investigate triangulations of the two-dimensional sphere and torus with the faces
properly colored white and black. We focus on matchings between white triangles and …

This is a simplified extract of the paper The sandpile group of a trinity and a canonical
definition for the planar Bernardi action by the same set of authors. This paper contains no …

We address a question of Cavenagh and Wanless asking: which finite abelian groups arise
as the canonical group of a spherical latin bitrade? We prove the existence of an infinite …