Farey sequences and resistor networks
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- KHAN, S.A. Proc Math Sci (2012) 122: 153. doi:10.1007/s12044-012-0066-7
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In this article, we employ the Farey sequence and Fibonacci numbers to establish strict upper and lower bounds for the order of the set of equivalent resistances for a circuit constructed from n equal resistors combined in series and in parallel. The method is applicable for networks involving bridge and non-planar circuits.