Exact Random Generation of Symmetric and Quasi-symmetric Alternating-sign Matrices

Philippe Duchon (1) , Florent Le Gac (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

We show how to adapt the Monotone Coupling from the Past exact sampling algorithm to sample from some symmetric subsets of finite distributive lattices. The method is applied to generate uniform random elements of all symmetry classes of alternating-sign matrices.

Mots clés: Random generation; Markov chain; Alternating-sign matrices

Domaines: Combinatoire [math.CO]

Philippe Duchon, Florent Le Gac. Exact Random Generation of Symmetric and Quasi-symmetric Alternating-sign Matrices. GASCom, Jun 2008, Bibbiena, Italy. pp.131-141. ⟨hal-00412149⟩