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21 papers · 1 filter
Pattern Avoidance for Fibonacci Sequences using -Regular Words
Emily Downing, Elizabeth Hartung, Cody Lucido +1
Two -ary Fibonacci recurrences are and . We provide a simple proof that is the number of $k…
On the Outcome Map of MVP Parking Functions: Permutations Avoiding 321 and 3412, and Motzkin Paths
Pamela E. Harris, Brian M. Kamau, J. Carlos Martínez Mori +1
We introduce a new parking procedure called MVP parking in which cars sequentially enter a one-way street with a preferred parking spot from the parking spots on the street…
On Parking Functions and The Tower of Hanoi
Yasmin Aguillon, Dylan Alvarenga, Pamela E. Harris +6
The displacement of a parking function measures the total difference between where cars want to park and where they ultimately park. In this article, we prove that the set of parki…
Very Well-Covered Graphs with the Erdős-Ko-Rado Property
Jessica De Silva, Adam B. Dionne, Aidan Dunkelberg +1
A family of independent -sets of a graph is an -star if every set in the family contains some fixed vertex . A graph is -EKR if the maximum size of an intersecting…
A Hamilton Cycle in the -Sided Pancake Network
Ben Cameron, Joe Sawada, Aaron Williams
We present a Hamilton cycle in the -sided pancake network and four combinatorial algorithms to traverse the cycle. The network's vertices are coloured permutations $π= p_1p_2\cd…
Kostant's partition function and magic multiplex juggling sequences
Carolina Benedetti, Christopher R. H. Hanusa, Pamela E. Harris +2
Kostant's partition function is a vector partition function that counts the number of ways one can express a weight of a Lie algebra as a nonnegative integral linear…