Characterizing immutable sandpiles: A first look
Combinatorics
2020-06-02 v1
Abstract
By working with coefficients in or , one can define two different notions of stability for a sandpile on a graph. We call a sandpile immutable when these notions agree. Our main results give linear-algebraic characterizations for large classes of immutable sandpiles.
Keywords
Cite
@article{arxiv.2006.00041,
title = {Characterizing immutable sandpiles: A first look},
author = {David L. Duncan and Wesley J. Engelbrecht},
journal= {arXiv preprint arXiv:2006.00041},
year = {2020}
}
Comments
32 pages, 6 figures