Title

On the sandpile group of eulerian series-parallel graphs

Document Type

Article

Publication Date

1-1-2020

Abstract

© 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.

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