On the sandpile group of eulerian series-parallel graphs
© 2020, Mathematical Sciences Publishers. All rights reserved. A sandpile configuration is a representation of the current layout of theoretical sand on a graph in which every vertex is assigned a nonnegative integer value. The Abelian sandpile group is a finite group composed of the recurrent sandpile configurations of a graph. We investigate the sandpile group of graphs constructed using the composition rules of series-parallel graphs, and determine the sandpile groups of parallel compositions of path-graphs.
Weishaar, Kyle and Seibert, James, "On the sandpile group of eulerian series-parallel graphs" (2020). Regis University Faculty Publications. 81.