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12 papers · 1 filter
Oriented Interval Greedoids
Franco Saliola, Hugh Thomas
We propose a definition of an "oriented interval greedoid" that simultaneously generalizes the notion of an oriented matroid and the construction on antimatroids introduced by L. J…
Discrete sets with minimal moment of inertia
S. Brlek, G. Labelle, A. Lacasse
This paper has been withdrawn by the author due to a crucial error in the proof of Theorem 1.
A note on the Markoff condition and central words
Amy Glen, Aaron Lauve, Franco V. Saliola
We define Markoff words as certain factors appearing in bi-infinite words satisfying the Markoff condition. We prove that these words coincide with central words, yielding a new ch…
The Quiver of the Semigroup Algebra of a Left Regular Band
Franco V. Saliola
Recently it has been noticed that many interesting combinatorial objects belong to a class of semigroups called left regular bands, and that random walks on these semigroups encode…
P-partitions and a multi-parameter Klyachko idempotent
Peter McNamara, Christophe Reutenauer
Because they play a role in our understanding of the symmetric group algebra, Lie idempotents have received considerable attention. The Klyachko idempotent has attracted interest f…
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…