1 citations · 2 across the 6 of their papers we have counts for
6 papers
Association Scheme on Triples from the Unitary Group
Jose Maria P. Balmaceda, Dom Vito A. Briones, Joris Buloron
An association scheme on triples (AST) is a three-dimensional analogue of a classical association scheme. Similar to how a transitive group action produces a Schurian classical ass…
Association schemes on triples from affine special semilinear groups
Dom Vito A. Briones
Association schemes on triples (ASTs) are 3-dimensional analogues of classical association schemes. If a group acts two-transitively on a set, the orbits of the action induced on t…
A survey on association schemes on triples
Jose Maria P. Balmaceda, Dom Vito A. Briones
Association schemes on triples (ASTs) are ternary analogues of classical association schemes, whose relations and adjacency algebras are ternary instead of binary. We provide a sur…
Association schemes on triples over few vertices
Jose Maria P. Balmaceda, Dom Vito A. Briones
In this paper, we obtain classification results for higher-dimensional analogues of classical association schemes called association schemes on triples (ASTs). We present an algori…
Multiple contractions of permutation arrays
Carmen Amarra, Dom Vito A. Briones, Manuel Joseph C. Loquias
Given a permutation on symbols and an integer , the th contraction of is the permutation on symbols…
Families of Association Schemes on Triples from Two-Transitive Groups
Jose Maria P. Balmaceda, Dom Vito A. Briones
Association schemes on triples (ASTs) are ternary analogues of classical association schemes. Analogous to Schurian association schemes, ASTs arise from the actions of two-transiti…