Abstract
We consider the problem of twopoint resistance in a resistor network previously studied by one of us (Wu 2004 J. Phys. A: Math. Gen. 37 6653). By formulating the problem differently, we obtain a new expression for the twopoint 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.
Original language  English 

Article number  035003 
Journal  Journal of Physics A: Mathematical and Theoretical 
Volume  47 
Issue number  3 
Early online date  23 Dec 2013 
DOIs  
Publication status  Published  2014 
Keywords
 mathematical physics
 electronics and devices
 instrumentation and measurement
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Profiles

Ralph Kenna
 Faculty Research Centre in Fluid and Complex Systems  Professor of Theoretical Physics
Person: Teaching and Research