Elizabeth Hartung

collaborators

2 papers

math.CO2026

Shorthand Universal Tori for Permutations: Existence, Symmetry, and Generation of Twori

Tim Gerlach, Elizabeth Hartung, Pia Herkenrath +2

A de Bruijn sequence packs all $n$ -bit binary words into a cycle of length $2^{n}$ . A de Bruijn torus is the two-dimensional analogue in which each word appears exactly once in a rec…

math.CO2023

Pattern Avoidance for Fibonacci Sequences using $k$ -Regular Words

Emily Downing, Elizabeth Hartung, Cody Lucido +1

Two $k$ -ary Fibonacci recurrences are $a_{k} (n) = a_{k} (n - 1) + k \cdot a_{k} (n - 2)$ and $b_{k} (n) = k \cdot b_{k} (n - 1) + b_{k} (n - 2)$ . We provide a simple proof that $a_{k} (n)$ is the number of $k…

Shorthand Universal Tori for Permutations: Existence, Symmetry, and Generation of Twori

Pattern Avoidance for Fibonacci Sequences using k-Regular Words

Pattern Avoidance for Fibonacci Sequences using $k$ -Regular Words