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A. Encinas

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Preprint Sep 2026

Kemeny's constant via matrix compression and eigenvalue interlacing

Kemeny's constant quantifies the expected time for a random walk to reach a randomly chosen vertex, capturing global properties of a Markov chain. We develop a matrix-analytic framework for bounding Kemeny's constant of a finite connected weighted graph using degree-weighted compressions of the normalized adjacency mat...

A. Abiad, Á. Carmona, A. Encinas et al. · 0 citations
Open access Jul 2026

Network parameters via equilibrium measures in Schrödinger random walks

This work demonstrates how equilibrium measures within the framework of Schr¨odinger random walks on networks can be leveraged to compute key network parameters such as the Mean First Passage Time (MFPT) and Kemeny's constant by expressing these parameters in terms of generalized inverses of the associated M-matrix.

Á. Carmona, A. Encinas, M. J. Jiménez et al. · 0 citations

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