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) |
|---|---|
| Pages (from-to) | 46-54 |
| Number of pages | 9 |
| Journal | Linear Algebra and Its Applications |
| Volume | 556 |
| DOIs | |
| State | Published - Nov 1 2018 |
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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
Cite this
Chip-firing groups of iterated cones. / Brown, Morgan; Morrow, Jackson S.; Zureick-Brown, David.
In: Linear Algebra and Its Applications, Vol. 556, 01.11.2018, p. 46-54.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Chip-firing groups of iterated cones
AU - Brown, Morgan
AU - Morrow, Jackson S.
AU - Zureick-Brown, David
PY - 2018/11/1
Y1 - 2018/11/1
N2 - 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).
AB - 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).
KW - Abelian sandpile
KW - Chip-firing
KW - Critical group
KW - Graph Laplacian
KW - Matrix-tree theorem
UR - http://www.scopus.com/inward/record.url?scp=85049468238&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85049468238&partnerID=8YFLogxK
U2 - 10.1016/j.laa.2018.06.023
DO - 10.1016/j.laa.2018.06.023
M3 - Article
AN - SCOPUS:85049468238
VL - 556
SP - 46
EP - 54
JO - Linear Algebra and Its Applications
JF - Linear Algebra and Its Applications
SN - 0024-3795
ER -