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Chip-Firing and Rotor-Routing on Directed Graphs (2008)

Abstract
We give a rigorous and self-contained survey of the abelian sandpile model and rotor-router model on finite directed graphs, highlighting the connections between them. We present several intriguing open problems.. Comment: 34 pages, 11 figures. v2 has additional references, v3 corrects figure 9

Publication details
Download http://arxiv.org/abs/0801.3306
Repository arXiv (United States)
Keywords Mathematics - Combinatorics, 82C20, 20K01, 05C25
Type text