2 citations · 10 across the 9 of their papers we have counts for
9 papers
On Packing Densities of Set Partitions
Adam M. Goyt, Lara K. Pudwell
We study packing densities for set partitions, which is a generalization of packing words. We use results from the literature about packing densities for permutations and words to…
Pattern Avoidance in Ordered Set Partitions
Anant Godbole, Adam Goyt, Jennifer Herdan +1
In this paper we consider the enumeration of ordered set partitions avoiding a permutation pattern of length 2 or 3. We provide an exact enumeration for avoiding the permutation 12…
Statistical Distributions and -Analogues of -Fibonacci Numbers
Adam M. Goyt, Brady L. Keller, Jonathan E. Rue
We study -analogues of -Fibonacci numbers that arise from weighted tilings of an board with tiles of length at most . The weights on our tilings arise naturally…
Avoiding colored partitions of two elements in the pattern sense
Adam M. Goyt, Lara K. Pudwell
Enumeration of pattern-avoiding objects is an active area of study with connections to such disparate regions of mathematics as Schubert varieties and stack-sortable sequences. Rec…
Avoiding Colored Partitions of Lengths Two and Three
Adam M. Goyt, Lara K. Pudwell
Pattern avoidance in the symmetric group has provided a number of useful connections between seemingly unrelated problems from stack-sorting to Schubert varieties. Recent wor…
Permutation Statistics and -Fibonacci Numbers
Adam M. Goyt, David Mathisen
In a recent paper, Goyt and Sagan studied distributions of certain set partition statistics over pattern restricted sets of set partitions that were counted by the Fibonacci number…