Chip-firing groups of iterated cones

Morgan Brown, Jackson S. Morrow, David Zureick-Brown

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

Let Γ be a finite graph and let Γn be the “nth cone over Γ” (i.e., the join of Γ and the complete graph Kn). We study the asymptotic structure of the chip-firing group Pic0n).

Original languageEnglish (US)
Pages (from-to)46-54
Number of pages9
JournalLinear Algebra and Its Applications
Volume556
DOIs
StatePublished - Nov 1 2018

Keywords

  • Abelian sandpile
  • Chip-firing
  • Critical group
  • Graph Laplacian
  • Matrix-tree theorem

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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