Izmailian, N. Sh.; Kenna, R.; Wu, F. Y. The two-point resistance of a resistor network: a new formulation and application to the cobweb network. (English) Zbl 1285.78003 J. Phys. A, Math. Theor. 47, No. 3, Article ID 035003, 10 p. (2014). Summary: We consider the problem of two-point resistance in a resistor network previously studied by the third author [J. Phys. A, Math. Gen. 37, No. 26, 6653–6673 (2004; Zbl 1061.94087)]. By formulating the problem differently, we obtain a new expression for the two-point resistance between two arbitrary nodes which is simpler and can be easier to use in practice. We apply the new formulation to the cobweb resistor network to obtain the resistance between two nodes in the network. Particularly, our results prove a recently proposed conjecture on the resistance between the center node and a node on the network boundary. Our analysis also solves the spanning tree problem on the cobweb network. Cited in 9 Documents MSC: 78A55 Technical applications of optics and electromagnetic theory 94C05 Analytic circuit theory Keywords:resistor network; spanning tree Citations:Zbl 1061.94087 PDFBibTeX XMLCite \textit{N. Sh. Izmailian} et al., J. Phys. A, Math. Theor. 47, No. 3, Article ID 035003, 10 p. (2014; Zbl 1285.78003) Full Text: DOI arXiv