On the Sandpile group of Dual graphs
Rossin, Dominique ; Cori, Robert
HAL, hal-00016380 / Harvested from HAL
The group of recurrent configurations in the sandpile model, introduced by Dhar, 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.
Publié le : 2000-07-05
Classification:  [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
@article{hal-00016380,
     author = {Rossin, Dominique and Cori, Robert},
     title = {On the Sandpile group of Dual graphs},
     journal = {HAL},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00016380}
}
Rossin, Dominique; Cori, Robert. On the Sandpile group of Dual graphs. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00016380/