53 citations · 134 across the 19 of their papers we have counts for
20 papers
Partitions with constrained ranks and lattice paths
Sylvie Corteel, Sergi Elizalde, Carla Savage
In this paper we study partitions whose successive ranks belong to a given set. We enumerate such partitions while keeping track of the number of parts, the largest part, the side…
Lecture hall partitions and the affine hyperoctahedral group
Christopher R. H. Hanusa, Carla D. Savage
In 1997 Bousquet-Mélou and Eriksson introduced lecture hall partitions as the inversion vectors of elements of the parabolic quotient . We provide a new view of th…
Patterns in Inversion Sequences II: Inversion Sequences Avoiding Triples of Relations
Megan A. Martinez, Carla D. Savage
Inversion sequences of length , , are integer sequences with for each . The study of patterns in inversion sequences was i…
The mathematics of lecture hall partitions
Carla D. Savage
Over the past twenty years, lecture hall partitions have emerged as fundamental combinatorial structures, leading to new generalizations and interpretations of classical theorems a…
Patterns in Inversion Sequences I
Sylvie Corteel, Megan A. Martinez, Carla D. Savage +1
Permutations that avoid given patterns have been studied in great depth for their connections to other fields of mathematics, computer science, and biology. From a combinatorial pe…
Generating functions and triangulations for lecture hall cones
Matthias Beck, Benjamin Braun, Matthias Köppe +2
We investigate the arithmetic-geometric structure of the lecture hall cone \[ L_n \ := \ \left\{λ\in \mathbb{R}^n: \, 0\leq \frac{λ_1}{1}\leq \frac{λ_2}{2}\leq \frac{λ_3}{3}\leq \c…