On the resistance matrix of a graph
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Publication:259168
zbMath1333.05191MaRDI QIDQ259168
Changjiang Bu, Jiang Zhou, Zhong-Yu Wang
Publication date: 11 March 2016
Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)
Full work available at URL: http://www.combinatorics.org/ojs/index.php/eljc/article/view/v23i1p41
Theory of matrix inversion and generalized inverses (15A09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Distance in graphs (05C12)
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Cites Work
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- Two Laplacians for the distance matrix of a graph
- Resistance distance-based graph invariants of subdivisions and triangulations of graphs
- Identities for minors of the Laplacian, resistance and distance matrices
- Spectra of graphs
- Random walks and electrical resistances in products of graphs
- On a conjecture about the Szeged index
- Resistance distance and the normalized Laplacian spectrum
- On resistance-distance and Kirchhoff index
- Distance matrix polynomials of trees
- Graphs with constant \(\mu\) and \(\overline{\mu}\)
- Generalized inverses. Theory and applications.
- On electric resistances for distance-regular graphs
- Resistance distance in subdivision-vertex join and subdivision-edge join of graphs
- Resistance distance and Kirchhoff index of \(R\)-vertex join and \(R\)-edge join of two graphs
- Some results on resistance distances and resistance matrices
- The distance spectrum of a tree
- Some rules on resistance distance with applications
- Potential Theory on Distance-Regular Graphs
- On the Addressing Problem for Loop Switching
- Generalized inverse of the Laplacian matrix and some applications
