22 citations · 22 across the 3 of their papers we have counts for
4 papers
Monotone triangles and 312 Pattern Avoidance
Arvind Ayyer, Robert Cori, Dominique Gouyou-Beauchamps
We demonstrate a natural bijection between a subclass of alternating sign matrices (ASMs) defined by a condition on the corresponding monotone triangle which we call the gapless co…
Signed enumeration of ribbon tableaux
Dominique Gouyou-Beauchamps, Philippe Nadeau
We give an extension of the classical Schensted correspondence to the case of ribbon tableaux, where ribbons are allowed to be of different sizes. This is done by extending Fomin's…
Generating functions for generating trees
Cyril Banderier, Philippe Flajolet, Daniele Gardy +3
Certain families of combinatorial objects admit recursive descriptions in terms of generating trees: each node of the tree corresponds to an object, and the branch leading to the n…
Enumeration of symmetry classes of convex polyominoes on the honeycomb lattice
Dominique Gouyou-Beauchamps, Pierre Leroux
Hexagonal polyominoes are polyominoes on the honeycomb lattice. We enumerate the symmetry classes of convex hexagonal polyominoes. Here convexity is to be understood as convexity a…