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On the Sandpile Group of Dual Graphs

✍ Scribed by Robert Cori; Dominique Rossin

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
205 KB
Volume
21
Category
Article
ISSN
0195-6698

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✦ Synopsis

The group of recurrent configurations in the sandpile model, introduced by Dhar [7], may be considered as a finite abelian group associated with any graph G; we call it the sandpile group of G. The aim of this paper is to prove that the sandpile group of planar graph is isomorphic to that of its dual. A combinatorial point of view on the subject is also developed.

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