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arXiv · 2501.13701

Enlarging a connected graph while keeping entropy and spectral radius: self-similarity techniques

Alberto Seeger·David Sossa
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Abstract

This work is about self-similar sequences of growing connected graphs. We explain how to construct such sequences and why they are important. We show for instance that all the connected graphs in a self-similar sequence have not only the same entropy, but also the same spectral radius.

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Alberto Seeger, David Sossa. 2025-01-23. Enlarging a connected graph while keeping entropy and spectral radius: self-similarity techniques. https://arxiv.org/abs/2501.13701

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