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4 papers · 1 filter
Signed Mahonian polynomials for classical Weyl groups
Riccardo Biagioli
The generating functions of the major index and of the flag-major index, with each of the one-dimensional characters over the symmetric and hyperoctahedral group, respectively, hav…
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…
Alternating sign matrices with one -1 under vertical reflection
Pierre Lalonde
We define a bijection that transforms an alternating sign matrix A with one -1 into a pair (N,E) where N is a (so called) ``neutral'' alternating sign matrix (with one -1) and E is…
Enumerative problems inspired by Mayer's theory of cluster integrals
Pierre Leroux
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing…