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 
DOIs  
Publication status  Published  24 Jan 2014 
Keywords
 mathematical physics
 electronics and devices
 instrumentation and measurement
Fingerprint Dive into the research topics of 'The twopoint resistance of a resistor network: A new formulation and application to the cobweb network'. Together they form a unique fingerprint.
Profiles

Ralph Kenna
 Research Centre for Fluid & Complex Systems  Professor of Theoretical Physics
Person: Teaching and Research