2 papers
math.CO2024
A note on the lacking polynomial of the complete bipartite graph
Amal Alofi, Mark Dukes
The lacking polynomial is a graph polynomial introduced by Chan, Marckert, and Selig in 2013 that is closely related to the Tutte polynomial of a graph. It arose by way of a genera…
math.CO2020
Parallelogram polyominoes and rectangular EW-tableaux: correspondences through the sandpile model
Amal Alofi, Mark Dukes
This paper establishes connections between EW-tableaux and parallelogram polyominoes by using recent research regarding the sandpile model on the complete bipartite graph. This pap…