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Journal of Statistical Physics

, Volume 172, Issue 3, pp 824–832 | Cite as

Some Two-Point Resistances of the Sierpinski Gasket Network

  • Zhuozhuo Jiang
  • Weigen Yan
Article
  • 80 Downloads

Abstract

In this paper, we use the principle of substitution to replace sub-gaskets of the Sierpinski gasket network by an equivalent Y-network which enables the use of only the Delta–Wye transformation and the series and parallel principles to derive some two-point resistances of the Sierpinski gasket network with dimension two.

Keywords

Resistance Network Sierpinski gasket 

Notes

Acknowledgements

We are grateful to the referees for providing some helpful revising suggestions. Particularly, one of referees told us that \(R_{S(n)}(a_{n1} \cdot a_{n2})\) can be obtained by the results on the number of spanning trees in [22] and he (or she) also pointed out that \(R_{SG_d(n)}(a_{n1},a_{n2})\) can be obtained in a similar method.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of SciencesJimei UniversityXiamenChina

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