The Kirchhoff indices of join networks
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Publication:765336
DOI10.1016/j.dam.2011.09.017zbMath1237.05123OpenAlexW2084389042MaRDI QIDQ765336
Ángeles Carmona, Enrique Bendito, Andrés M. Encinas
Publication date: 19 March 2012
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.dam.2011.09.017
Applications of graph theory (05C90) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Discrete potential theory (31C20)
Related Items (8)
Laplacian matrix of a weighted graph with new pendant vertices ⋮ On the resistance distance and Kirchhoff index of a linear hexagonal (cylinder) chain ⋮ Green functions on product networks ⋮ Group inverse of the Laplacian of connections of networks ⋮ Group inverses of a class of corona networks ⋮ Discrete elliptic operators and their Green operators ⋮ Further results on resistance distance and Kirchhoff index in electric networks ⋮ Green operators of networks with a new vertex
Cites Work
- Kirchhoff indexes of a network
- Kirchhoff index of composite graphs
- Resistance distance in wheels and fans
- Characterization of symmetric \(M\)-matrices as resistive inverses
- Potential theory for Schrödinger operators on finite networks
- Laplacian eigenvectors of graphs. Perron-Frobenius and Faber-Krahn type theorems
- The curl of a weighted network
- Eigenvalues, eigenfunctions and Green's functions on a path via Chebyshev polynomials
- Minimizing Effective Resistance of a Graph
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