Green's function in partial subdivision networks

DOI10.1080/03081087.2018.1499704zbMath1429.05051OpenAlexW2884149408WikidataQ114641444 ScholiaQ114641444MaRDI QIDQ5205782

Enric Monsó, Ángeles Carmona, Margarida Mitjana

Publication date: 16 December 2019

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2117/126115

zbMATH Keywords

resistance distanceKirchhoff indexGreen kernelpartial subdivision network

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Theory of matrix inversion and generalized inverses (15A09) Deterministic network models in operations research (90B10) Distance in graphs (05C12) Discrete potential theory (31C20) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Related Items (1)

On the resistance distance and Kirchhoff index of a linear hexagonal (cylinder) chain

Cites Work

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• Kirchhoff index in line, subdivision and total graphs of a regular graph
• Random walks and the effective resistance sum rules
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• Potential theory for Schrödinger operators on finite networks
• Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems
• Some results on resistance distances and resistance matrices
• Effective resistances and Kirchhoff index in subdivision networks
• Minimizing Effective Resistance of a Graph

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