Geodesic
Minimal Recurrent Configurations of Chip Firing Games and Directed Acyclic Graphs
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS (2010).

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We discuss a very close relation between minimal recurrent configurations of Chip Firing Games and Directed Acyclic Graphs and demonstrate the usefulness of this relation by giving a lower bound for the number of minimal recurrent configurations of the Abelian Sandpile Model as well as a lower bound for the number of firings which are caused by the addition of two recurrent configurations on particular graphs. 
@article{DMTCS_2010_special_257_a1,
     author = {Schulz, Matthias},
     title = {Minimal {Recurrent} {Configurations} of {Chip} {Firing} {Games} and {Directed} {Acyclic} {Graphs}},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS},
     year = {2010},
     doi = {10.46298/dmtcs.2756},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2756/}
}
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%V DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS
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Schulz, Matthias. Minimal Recurrent Configurations of Chip Firing Games and Directed Acyclic Graphs. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS, DMTCS Proceedings vol. AL, Automata 2010 - 16th Intl. Workshop on CA and DCS (2010). doi : 10.46298/dmtcs.2756. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.2756/

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