The sandpile group of a family of nearly complete graphs

DOI10.1007/s40840-020-00966-zzbMath1462.05181OpenAlexW3043066001MaRDI QIDQ2021647

Yufang Zhou, Hai-Yan Chen

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00966-z

zbMATH Keywords

Smith normal formsandpile groupnearly complete graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graph operations (line graphs, products, etc.) (05C76)

Related Items

The sandpile group of polygon rings and twisted polygon rings ⋮ Combinatorial aspects of sandpile models on wheel and Fan graphs

Cites Work

• Jacobians of nearly complete and threshold graphs
• Chip-firing games on directed graphs
• Chip-firing games on graphs
• Smith normal form and Laplacians
• Arithmetical graphs
• Unimodular equivalence of graphs
• Chip-firing and the critical group of a graph
• Chip-firing groups of iterated cones
• Riemann-Roch and Abel-Jacobi theory on a finite graph
• Critical groups of iterated cones
• Self-organized critical state of sandpile automaton models