2014/09/16 by Aleš Drápal, Terry S. Griggs, Andrew R. Kozlik · 1 citation
Engineering · Mathematics · #Advanced Combinatorial Mathematics #Mathematics and Applications #graph theory and CDMA systems #math.CO #msc:05B07 #msc:20N05
paper · pdf · doi:10.1142/s0219498815500899
published as J. Algebra Appl. 14 (2015), 1550089
openalex publication_date 2014/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/11 · arxiv created 2026/08/01 · arxiv updated 2026/08/04
A directed triple system can be defined as a decomposition of a complete digraph to directed triples 〈x, y, z〉. By setting xy = z, yz = x, xz = y and uu = u we get a binary operation that can be a quasigroup. We give an algebraic description of such quasigroups, explain how they can be associated with triangulated pseudosurfaces and report enumeration results.