Resistors in dual networks

Let G be a finite plane multigraph and G' its dual. Each edge e of G is interpreted as a resistor of resistance Re, and the dual edge e' is assigned the dual resistance Re':=1/Re. Then the equivalent resistance re over e and the equivalent resistance re' over e' satisfy re/R...

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Main Authors: Furrer, Martina; Berufsbildungszentrum des Kantons Schaffhausen, 8200 Schaffhausen, Switzerland (Author), Hungerbühler, Norbert; Department of Mathematics, ETH Zurich, 8092 Zurich, Switzerland (Author), Jantschgi, Simon; University of Zurich, 8050 Zurich, Switzerland (Author)
Format: EJournal Article
Published: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2020-10-16.
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