The Two-Point Resistance of Fan Networks

Nikolay Izmailian; Ralph Kenna

doi:10.6122/CJP.20141020A

The Two-Point Resistance of Fan Networks

Nikolay Izmailian, Ralph Kenna

Research output: Contribution to journal › Article

16 Citations (Scopus)

Abstract

The problem of the two-point resistance in various networks has recently received considerable attention. Here we consider the problem on a fan-resistor network, which is a segment of the cobweb network. Using a recently developed approach, we obtain the exact resistance between two arbitrary nodes on such a network. As a byproduct, the analysis also delivers the solution of the spanning tree problem on the fan network.

Original language	English
Pages (from-to)	88-98
Journal	Chinese Journal of Physics
Volume	53
Issue number	2
DOIs	https://doi.org/10.6122/CJP.20141020A
Publication status	Published - 2015

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10.6122/CJP.20141020A

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title = "The Two-Point Resistance of Fan Networks",

abstract = "The problem of the two-point resistance in various networks has recently received considerable attention. Here we consider the problem on a fan-resistor network, which is a segment of the cobweb network. Using a recently developed approach, we obtain the exact resistance between two arbitrary nodes on such a network. As a byproduct, the analysis also delivers the solution of the spanning tree problem on the fan network.",

author = "Nikolay Izmailian and Ralph Kenna",

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AU - Kenna, Ralph

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N2 - The problem of the two-point resistance in various networks has recently received considerable attention. Here we consider the problem on a fan-resistor network, which is a segment of the cobweb network. Using a recently developed approach, we obtain the exact resistance between two arbitrary nodes on such a network. As a byproduct, the analysis also delivers the solution of the spanning tree problem on the fan network.

AB - The problem of the two-point resistance in various networks has recently received considerable attention. Here we consider the problem on a fan-resistor network, which is a segment of the cobweb network. Using a recently developed approach, we obtain the exact resistance between two arbitrary nodes on such a network. As a byproduct, the analysis also delivers the solution of the spanning tree problem on the fan network.

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DO - 10.6122/CJP.20141020A

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VL - 53

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JO - Chinese Journal of Physics

JF - Chinese Journal of Physics

IS - 2

ER -

The Two-Point Resistance of Fan Networks

Abstract

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