The theory of resistive electrical networks is invoked to develop a novel view: if fixed resistors are assigned to each edge of a connected graph, then the effective resistance between pairs of vertices is a graphical distance. Several theorems concerning this novel distance function are established.
%0 Journal Article
%1 klein93
%A Klein, Douglas J.
%A Randić, Milan
%D 1993
%J Journal of Mathematical Chemistry
%K circuit effective.resistance graph.theory laplacian network physics resistor total.effective.resistance
%N 1
%P 81--95
%R 10.1007/BF01164627
%T Resistance Distance
%V 12
%X The theory of resistive electrical networks is invoked to develop a novel view: if fixed resistors are assigned to each edge of a connected graph, then the effective resistance between pairs of vertices is a graphical distance. Several theorems concerning this novel distance function are established.
@article{klein93,
abstract = {The theory of resistive electrical networks is invoked to develop a novel view: if fixed resistors are assigned to each edge of a connected graph, then the effective resistance between pairs of vertices is a graphical distance. Several theorems concerning this novel distance function are established.},
added-at = {2016-04-24T13:42:12.000+0200},
author = {Klein, Douglas J. and Randi{\'{c}}, Milan},
biburl = {https://www.bibsonomy.org/bibtex/298e1c8cdf934212e5b53a3451f485c58/ytyoun},
doi = {10.1007/BF01164627},
interhash = {7ce5bd4b24a15d0234689cc7090c9623},
intrahash = {98e1c8cdf934212e5b53a3451f485c58},
issn = {1572-8897},
journal = {Journal of Mathematical Chemistry},
keywords = {circuit effective.resistance graph.theory laplacian network physics resistor total.effective.resistance},
number = 1,
pages = {81--95},
timestamp = {2017-01-24T08:48:47.000+0100},
title = {Resistance Distance},
volume = 12,
year = 1993
}