Coding Distributive Lattices with Edge Firing Games
Combinatorics
2007-07-13 v1 Information Theory
Mathematical Physics
Dynamical Systems
math.IT
math.MP
Abstract
In this note, we show that any distributive lattice is isomorphic to the set of reachable configurations of an Edge Firing Game. Together with the result of James Propp, saying that the set of reachable configurations of any Edge Firing Game is always a distributive lattice, this shows that the two concepts are equivalent.
Keywords
Cite
@article{arxiv.math/0110214,
title = {Coding Distributive Lattices with Edge Firing Games},
author = {Matthieu Latapy and Clemence Magnien},
journal= {arXiv preprint arXiv:math/0110214},
year = {2007}
}
Comments
4 pages, 2 figures