30 citations · 139 across the 26 of their papers we have counts for
4 papers · 1 filter
Commutative nilpotent transformation semigroups
Alan J. Cain, António Malheiro, Tânia Paulista
Cameron, et al. determined the maximum size of a null subsemigroup of the full transformation semigroup on a finite set and provided a description of the null…
A local characterization of quasi-crystal graphs
Alan J. Cain, António Malheiro, Fátima Rodrigues +1
It is provided a local characterization of quasi-crystal graphs, by presenting a set of local axioms, similar to the ones introduced by Stembridge for crystal graphs of simply-lace…
Structure of quasi-crystal graphs and applications to the combinatorics of quasi-symmetric functions
Alan J. Cain, António Malheiro, Fátima Rodrigues +1
Crystal graphs are powerful combinatorial tools for working with the plactic monoid and symmetric functions. Quasi-crystal graphs are an analogous concept for the hypoplactic monoi…
Conjugacy in Abstract Semigroups, Transformation and Diagram Monoids, and Conjugacy Growth
João Araújo, Wolfram Bentz, Michael Kinyon +3
We study conjugacy relations on semigroups and monoids, focusing on the relation $a \cfn b$, defined by the existence of such that , , , an…