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arXiv · 2006.00041

Characterizing immutable sandpiles: A first look

David L. Duncan·Wesley J. Engelbrecht
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Abstract

By working with coefficients in $\mathbb{Z}$ or $\mathbb{R}$, 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.

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David L. Duncan, Wesley J. Engelbrecht. 2020-05-29. Characterizing immutable sandpiles: A first look. https://arxiv.org/abs/2006.00041

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