Browsing Department of Mathematics and Computer Studies by Subject "ASM"

Now showing items 1-3 of 3

    • Alternating sign hypermatrix decompositions of Latin-like squares 

      O'Brien, Cian (Elsevier, 2020-08-14)
      To any n × n Latin square L, we may associate a unique sequence of mutually orthogonal permutation matrices P = P_1, P_2, ..., P_n such that L = L(P ) = ∑ k_Pk . Brualdi and Dahl (2018) described a generalisation of a ...

    • Alternating signed bipartite graphs and difference-1 colourings 

      O'Brien, Cian; Jennings, Kevin; Quinlan, Rachel (Elsevier, 2020-07-13)
      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 central question is when a given bipartite ...

    • Groups of singular alternating sign matrices 

      O'Brien, Cian; Quinlan, Rachel (International Linear Algebra Society, 2025-05-20)
      We investigate multiplicative groups consisting entirely of singular alternating sign matrices (ASMs) and present several constructions of such groups. It is shown that every finite group is isomorphic to a group of ...