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arXiv · 2510.03537

Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory

Rebecca Carter·M. Ram Murty
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Abstract

After a brief review of the key theorems concerning recurrent sequences, we give an explicit computation of the inverse of the Vandermonde matrix. This will then be used to derive sub-exponential decay error terms in the ergodic theorem of Markov chains. Finally, we apply these results to give estimates for the diameters of directed graphs.

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Rebecca Carter, M. Ram Murty. 2025-10-03. Linear Recurrent Sequences, Markov Chains and Their Applications in Graph Theory. https://arxiv.org/abs/2510.03537

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