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Resistance Distance in Potting Networks

Author

Listed:
  • Fan, Jiaqi
  • Zhu, Jiali
  • Tian, Li
  • Wang, Qin

Abstract

On a resistor network, the resistance distance is the effective resistance ruv between two nodes u,v of the network. In this paper, we study a family of self-similar and symmetric networks named potting networks and obtain a recursion formula to calculate resistance distances.

Suggested Citation

  • Fan, Jiaqi & Zhu, Jiali & Tian, Li & Wang, Qin, 2020. "Resistance Distance in Potting Networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 540(C).
    • Handle: RePEc:eee:phsmap:v:540:y:2020:i:c:s037843711931725x
    DOI: 10.1016/j.physa.2019.123053
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    References listed on IDEAS

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    1. Sun, Bingbin & Yao, Jialing & Xi, Lifeng, 2019. "Eigentime identities of fractal sailboat networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 520(C), pages 338-349.
    2. Xi, Lifeng & Ye, Qianqian, 2019. "Eigentime identities of potting networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 526(C).
    3. Wang, Songjing & Xi, Lifeng & Xu, Hui & Wang, Lihong, 2017. "Scale-free and small-world properties of Sierpinski networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 690-700.
    4. Chen, Jin & Le, Anbo & Wang, Qin & Xi, Lifeng, 2016. "A small-world and scale-free network generated by Sierpinski Pentagon," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 449(C), pages 126-135.
    5. Jiang, Zhuozhuo & Yan, Weigen, 2017. "Resistance between two nodes of a ring network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 484(C), pages 21-26.
    6. Shangguan, Yingmin & Chen, Haiyan, 2019. "Two-point resistances in a family of self-similar (x,y)-flower networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 523(C), pages 382-391.
    7. Feng Zhu & Meifeng Dai & Yujuan Dong & Jie Liu, 2014. "Random walk and first passage time on a weighted hierarchical network," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 25(09), pages 1-10.
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    Cited by:

    1. Sardar, Muhammad Shoaib & Pan, Xiang-Feng & Xu, Si-Ao, 2020. "Computation of resistance distance and Kirchhoff index of the two classes of silicate networks," Applied Mathematics and Computation, Elsevier, vol. 381(C).
    2. Sardar, Muhammad Shoaib & Pan, Xiang-Feng & Xu, Shou-Jun, 2024. "Computation of the resistance distance and the Kirchhoff index for the two types of claw-free cubic graphs," Applied Mathematics and Computation, Elsevier, vol. 473(C).
    3. Lin, Wei & Li, Min & Zhou, Shuming & Liu, Jiafei & Chen, Gaolin & Zhou, Qianru, 2021. "Phase transition in spectral clustering based on resistance matrix," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 566(C).

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