The Kirchhoff index of unicycle weighted chains

DOI10.1016/j.endm.2014.08.029zbMath1338.05131OpenAlexW2043637628MaRDI QIDQ283706

F. Blanchet-Sadri, M. Dambrine

Publication date: 13 May 2016

Full work available at URL: https://doi.org/10.1016/j.endm.2014.08.029

zbMATH Keywords

Green functionKirchhoff indexeffective resistanceunicycle networkweighted cycle

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Paths and cycles (05C38) Directed graphs (digraphs), tournaments (05C20)

Related Items (4)

Combinatorial explanation of the weighted Wiener (Kirchhoff) index of trees and unicyclic graphs ⋮ The Kirchhoff indices and the matching numbers of unicyclic graphs ⋮ Minimizing Kirchhoff index among graphs with a given vertex bipartiteness ⋮ On the Kirchhoff index of a unicyclic graph and the matchings of the subdivision

Cites Work

• The \(M\)-matrix inverse problem for singular and symmetric Jacobi matrices
• Kirchhoff indexes of a network
• Characterization of symmetric \(M\)-matrices as resistive inverses
• Green matrices associated with generalized linear polyominoes

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