Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
419350 | Discrete Applied Mathematics | 2014 | 13 Pages |
Abstract
This paper presents a notion of morphism for resistive electrical networks. One can regard symmetries of a resistive network as morphisms, but they are trivial in the sense that they do not reduce the size of the problem. However, symmetries do induce a nontrivial quotient. We extend this result to arbitrary morphisms in a suitable categorical framework. Our principal application is to solve Kirchoff’s problem for certain products of paths.
Keywords
Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
L.H. Harper,