On the structure of the Jacobian group for circulant graphs

DOI10.1134/S106456241604027XzbMath1350.05061OpenAlexW2513221649MaRDI QIDQ339986

Ilya A. Mednykh, Alexander Mednykh

Publication date: 11 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s106456241604027x

zbMATH Keywords

Jacobian of a graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Flows in graphs (05C21)

Related Items (8)

On Jacobian group and complexity of the generalized Petersen graph \(\mathrm{GP}(n,k)\) through Chebyshev polynomials ⋮ On the Jacobian group of a cone over a circulant graph ⋮ On the structure of the critical group of a circulant graph with non-constant jumps ⋮ Cyclic coverings of graphs. Counting rooted spanning forests and trees, Kirchhoff index, and Jacobians ⋮ Chip-Firing Games and Critical Groups ⋮ On Jacobian group and complexity of I-graph I(n, k, l) through Chebyshev polynomials ⋮ Plans' periodicity theorem for Jacobian of circulant graphs ⋮ The number of spanning trees in circulant graphs, its arithmetic properties and asymptotic

Cites Work

• On the sandpile group of the square cycle \(C^{2}_{n}\)
• On the structure of Picard group for Moebius ladder
• Smith normal form and Laplacians
• Spanning tree formulas and Chebyshev polynomials
• Chip-firing and the critical group of a graph
• On the sandpile group of dual graphs
• The number of spanning trees in circulant graphs
• The number of spanning trees in odd valent circulant graphs
• Jacobian tori associated with a finite graph and its abelian covering graphs
• Chebyshev polynomials and spanning tree formulas for circulant and related graphs
• Harmonic Morphisms and Hyperelliptic Graphs
• Algebraic aspects of Abelian sandpile models
• Unnamed Item

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