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arXiv · 2101.03338

Asymptotic absence of poles of Ihara zeta function of large Erdos-Renyi random graphs

O. Khorunzhiy
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Abstract

Using recent results on the concentration of the largest eigenvalue and maximal vertex degree of large random graphs, we show that the infinite sequence of Erd\H os-R\'enyi random graphs $G(n,\rho_n/n)$ such that $\rho_n/\log n$ infinitely increases as $n\to\infty$ verifies a version of the graph theory Riemann Hypothesis.

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O. Khorunzhiy. 2021-01-09. Asymptotic absence of poles of Ihara zeta function of large Erdos-Renyi random graphs. https://arxiv.org/abs/2101.03338

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