2 citations · 3 across the 4 of their papers we have counts for
4 papers
Weighted projections of alternating sign matrices: Latin-like squares and the ASM polytope
Cian O'Brien
The weighted projection of an alternating sign matrix (ASM) was introduced by Brualdi and Dahl (2018) as a step towards characterising a generalisation of Latin squares they introd…
Alternating sign matrices of finite multiplicative order
Cian O'Brien, Rachel Quinlan
We investigate alternating sign matrices that are not permutation matrices, but have finite order in a general linear group. We classify all such examples of the form , where…
Alternating Sign Hypermatrix Decompositions of Latin-like Squares
Cian O'Brien
To any Latin square , we may associate a unique sequence of mutually orthogonal permutation matrices such that . Brua…
Alternating Signed Bipartite Graphs and Difference-1 Colourings
Cian O'Brien, Kevin Jennings, Rachel Quinlan
We investigate a class of 2-edge coloured bipartite graphs known as alternating signed bipartite graphs (ASBGs) that encode the information in alternating sign matrices. The centra…