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 Pic0(Γn).
Original language | English (US) |
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Pages (from-to) | 46-54 |
Number of pages | 9 |
Journal | Linear Algebra and Its Applications |
Volume | 556 |
DOIs | |
State | Published - 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