3 papers
math.CO2025
Parking functions and chip-firing on hypergraphs
Timothy Blanton, Anton Dochtermann, Isabelle Hong +2
For a connected graph with sink vertex , a -parking function is a vector of nonnegative integers whose entries are determined by cut-sets in . Such objects also arise…
math.CO2025
Extendability of -decomposable complexes
Rhea Ghosal, Melody Han, Benjamin Keller +5
A well-known conjecture of Simon (1994) states that any pure -dimensional shellable complex on vertices can be extended to , the -skeleton of the -d…
math.CO2024
On z-Superstable and Critical Configurations of Chip Firing Pairs
Zach Benton, Jane Kwak, SuHo Oh +2
It is well known that there is a duality map between the superstable configurations and the critical configurations of a graph. This was extended to all M-matrices in (Guzmàn-Kliva…