Resistance distances in the linear polyomino chain

DOI10.1007/s12190-017-1099-yzbMath1393.05183OpenAlexW2605253551MaRDI QIDQ721544

Liyuan Shi, Hai-Yan Chen

Publication date: 19 July 2018

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-017-1099-y

zbMATH Keywords

resistance distanceasymptotic propertylinear polyomino chain

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)

Related Items (5)

On the resistance distance and Kirchhoff index of a linear hexagonal (cylinder) chain ⋮ Resistance between two nodes of a ring clique network ⋮ Computation of resistance distance with Kirchhoff index of body centered cubic structure ⋮ Two-point resistances in the generalized phenylenes ⋮ Complete characterization of resistance distance for linear octagonal networks

Cites Work

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• Effective resistances and Kirchhoff index of ladder graphs
• Resistance distance local rules
• Extremal polyomino chains with respect to Zagreb indices
• The normalized Laplacian, degree-Kirchhoff index and spanning trees of the linear polyomino chains
• Extremal polyomino chains on \(k\)-matchings and \(k\)-independent sets
• Green matrices associated with generalized linear polyominoes
• Resistance distances in composite graphs
• Theory of resistor networks: the two-point resistance
• Checker Boards and Polyominoes

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