Group inverse matrix of the normalized Laplacian on subdivision networks

DOI10.2298/AADM180420023CzbMath1499.31020OpenAlexW3096346249MaRDI QIDQ5028776

Enric Monsó, Ángeles Carmona, Margarida Mitjana

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm180420023c

zbMATH Keywords

normalized LaplacianKirchhoff indexeffective resistancegroup inverse matrixsubdivision network

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Discrete potential theory (31C20) Boundary value problems on graphs and networks for ordinary differential equations (34B45)

Cites Work

• Unnamed Item
• Kirchhoff index in line, subdivision and total graphs of a regular graph
• Random walks and the effective resistance sum rules
• Resistance distance and the normalized Laplacian spectrum
• Characterization of symmetric \(M\)-matrices as resistive inverses
• The normalized Laplacian spectrum of subdivisions of a graph
• A combinatorial Laplacian with vertex weights
• Resistance distance in subdivision-vertex join and subdivision-edge join of graphs
• Discrete elliptic operators and their Green operators
• The Kirchhoff index of subdivisions of graphs
• Some results on resistance distances and resistance matrices
• The normalized Laplacian spectra of the corona and edge corona of two graphs
• Effective resistances and Kirchhoff index in subdivision networks

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