Wilmes' Conjecture and Boundary Divisors
Combinatorics
2012-10-31 v1
Abstract
This paper is concerned with Wilmes' conjecture regarding abelian sandpile models. We introduce the concept of boundary divisors and use this to prove the conjecture for the first Betti number. Further results suggest that this method could be used to tackle the general case of the problem.
Keywords
Cite
@article{arxiv.1210.8109,
title = {Wilmes' Conjecture and Boundary Divisors},
author = {Horia Mania},
journal= {arXiv preprint arXiv:1210.8109},
year = {2012}
}
Comments
23 pages, 11 figures