Some more interplay of the three Kirchhoffian indices

DOI10.1016/j.laa.2016.09.025zbMath1350.05155OpenAlexW2521089656MaRDI QIDQ331186

José Luis Palacios

Publication date: 26 October 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.09.025

zbMATH Keywords

hitting timesLaplacian matrixKirchhoff index

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) Eigenvalues, singular values, and eigenvectors (15A18) Connectivity (05C40) Random walks on graphs (05C81)

Related Items

Extremal graphs with diameter 2 for two indices on resistance-distance, The first two cacti with larger multiplicative eccentricity resistance-distance, On resistance distance of Markov chain and its sum rules, Some transformations on multiplicative eccentricity resistance-distance and their applications, Kirchhoffian indices for weighted digraphs, Resistance distances in extended or contracted networks, Computing the Additive Degree-Kirchhoff Index with the Laplacian Matrix

Cites Work

• On partial sums of hitting times
• Resistance distance and the normalized Laplacian spectrum
• Sum rules for hitting times of Markov chains
• On resistance-distance and Kirchhoff index
• A sharp upper bound on the largest eigenvalue of the Laplacian matrix of a graph
• Some bounds for the Kirchhoff index of graphs
• Bounds for the Kirchhoff index via majorization techniques
• Eigenvalues, invariant factors, highest weights, and Schubert calculus
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