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Kirchhoff index of the connections of two networks by an edge

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Publication:1792116
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DOI10.1016/j.endm.2018.06.049zbMath1397.05174OpenAlexW2883758658WikidataQ129559521 ScholiaQ129559521MaRDI QIDQ1792116

Silvia Gago

Publication date: 11 October 2018

Full work available at URL: https://doi.org/10.1016/j.endm.2018.06.049


zbMATH Keywords

Laplacian matrixgroup inverseKirchhoff indexeffective resistances


Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Deterministic network models in operations research (90B10)


Related Items (2)

The (degree-) Kirchhoff indices in random polygonal chains ⋮ On the Kirchhoff index of a unicyclic graph and the matchings of the subdivision



Cites Work

  • Kirchhoff index of a non-complete wheel
  • The inverses of some circulant matrices
  • Kirchhoff indexes of a network
  • The Moore-Penrose inverse of a partitioned matrix \(M=\begin{pmatrix} D&D\\ B&C\end{pmatrix}\)
  • Generalized inverses. Theory and applications.
  • Group inverse of the Laplacian of connections of networks
  • Wiener index of trees: Theory and applications
  • Green operators of networks with a new vertex


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