2 citations · 3 across the 5 of their papers we have counts for
5 papers
On the Asymptotic Distributions of Classes of Subtree Additive Properties of Plane Trees under the Nearest Neighbor Thermodynamic Model
Anna Kirkpatrick, Chidozie Onyeze
We define a class of properties on random plane trees, which we call subtree additive properties, inspired by the combinatorics of certain biologically-interesting properties in a…
Markov Chain-based Sampling for Exploring RNA Secondary Structure under the Nearest Neighbor Thermodynamic Model
Anna Kirkpatrick, Kalen Patton
We study plane trees as a model for RNA secondary structure, assigning energy to each tree based on the Nearest Neighbor Thermodynamic Model, and defining a corresponding Gibbs dis…
Computing the Size of Intervals in the Weak Bruhat Order
Joshua Cooper, Anna Kirkpatrick
The weak Bruhat order on is the partial order so that whenever the set of inversions of is a subset of the set of inversions of . We…
The complexity of counting poset and permutation patterns
Joshua Cooper, Anna Kirkpatrick
We introduce a notion of pattern occurrence that generalizes both classical permutation patterns as well as poset containment. Many questions about pattern statistics and avoidance…
Critical Sets for Sudoku and General Graphs
Joshua Cooper, Anna Kirkpatrick
We discuss the problem of finding critical sets in graphs, a concept which has appeared in a number of guises in the combinatorics and graph theory literature. The case of the Sudo…