Electronic Journal of Graph Theory and Applications (EJGTA)
Vol 3, No 1 (2015): Electronic Journal of Graph Theory and Applications

Resistor Networks based on Symmetrical Polytopes

Jeremy Moody (Worcester Polytechnic Institute)
P.K. Aravind (Worcester Polytechnic Institute)

Article Info

Publish Date
22 Mar 2015

Abstract

This paper shows how a method developed by Van Steenwijk can be generalized to calculate the resistance between any two vertices of a symmetrical polytope all of whose edges are identical resistors. The method is applied to a number of cases that have not been studied earlier such as the Archimedean polyhedra and their duals in three dimensions, the regular polytopes in four dimensions and the hypercube in any number of dimensions.

Copyrights © 2015




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Journal Info
Electronic Journal of Graph Theory and Applications (EJGTA)
Website

Abbrev

ejgta

Publisher

Indonesian Combinatorial Society

Subject

Electrical & Electronics Engineering

Description

The Electronic Journal of Graph Theory and Applications (EJGTA) is a refereed journal devoted to all areas of modern graph theory together with applications to other fields of mathematics, computer science and other sciences. The journal is published by the Indonesian Combinatorial Society ...