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. 2021 May 16;82(7):61. doi: 10.1007/s00285-021-01609-y

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© The Author(s) 2021

Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 6 — The spectral gap $λ_{2}$ versus the ratio $N_{eff} / N$ as a scatter plot for: a the quartic graphs of order $N = 14$ and b the cubic graphs of order $N = 16$ . The $N_{eff}$ is the maximal value obtained by the perturbation method removing an edge from the vertex $v_{i}$ with the largest remeeting time $τ_{i}$ . Transient amplifiers are marked by red dots. See also Fig. 12 of the Appendix for results of the other N