@Article{ATA-36-510, author = {Cao , Shiping and Qiu , Hua}, title = {The Non-Degeneracy of Harmonic Structures on Planar Sierpinski Gaskets}, journal = {Analysis in Theory and Applications}, year = {2020}, volume = {36}, number = {4}, pages = {510--516}, abstract = {

We present a direct and short proof of the non-degeneracy of the harmonic structures on the level-$n$ Sierpinski gaskets for any $n\geq 2$, which was conjectured by Hino in [1,2] and confirmed to be true by Tsougkas [8] very recently using Tutte's spring theorem.

}, issn = {1573-8175}, doi = {https://doi.org/10.4208/ata.OA-SU6}, url = {http://global-sci.org/intro/article_detail/ata/18467.html} }