On the structure of the critical group of a circulant graph with non-constant jumps

DOI10.1070/RM9904zbMath1440.05114OpenAlexW3008907699MaRDI QIDQ5112453

Ilya A. Mednykh, Alexander Mednykh

Publication date: 29 May 2020

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rm9904

zbMATH Keywords

Jacobian of a graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Additive difference equations (39A10)

Related Items (2)

Complexity of circulant graphs with non-fixed jumps, its arithmetic properties and asymptotics ⋮ Cyclic coverings of graphs. Counting rooted spanning forests and trees, Kirchhoff index, and Jacobians

Cites Work

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• Polynomials. Translated from the second Russian edition 2001 by Dimitry Leites.
• Chip-firing and the critical group of a graph
• On the sandpile group of dual graphs
• Jacobian tori associated with a finite graph and its abelian covering graphs
• On Jacobian group and complexity of the generalized Petersen graph \(\mathrm{GP}(n,k)\) through Chebyshev polynomials
• Harmonic Morphisms and Hyperelliptic Graphs
• The lattice of integral flows and the lattice of integral cuts on a finite graph
• Algebraic aspects of Abelian sandpile models

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