Figure 1. The Vicsek set graphs $G_0$, $G_1$, $G_2$.

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Figure 1. The Vicsek set graphs $G_0$, $G_1$, $G_2$. From: Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Trans London Math Soc. 2015;2(1):57-79. doi:10.1112/tlms/tlv003 Trans London Math Soc | © 2015 Author(s).This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Figure 2. The Sierpiński gasket graphs $G_0$, $G_1$, $G_2$. From: Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Trans London Math Soc. 2015;2(1):57-79. doi:10.1112/tlms/tlv003 Trans London Math Soc | © 2015 Author(s).This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Figure 3. The Sierpiński carpet graphs $G_0$, $G_1$, $G_2$. From: Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Trans London Math Soc. 2015;2(1):57-79. doi:10.1112/tlms/tlv003 Trans London Math Soc | © 2015 Author(s).This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.

Figure 4. The left-hand figure shows $A$$($black$)$ and $B$$($dark grey$)$. The right-hand figure shows $A'$ and $B'$. From: Moduli of continuity of local times of random walks on graphs in terms of the resistance metric Trans London Math Soc. 2015;2(1):57-79. doi:10.1112/tlms/tlv003 Trans London Math Soc | © 2015 Author(s).This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.