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Open AccessJournal ArticleDOI

Topology of series-parallel networks

TLDR
The series-parallel connection is a simple type of electric network termed a series parallel connection which occurs frequently in both theoretical and applied electrical engineering as mentioned in this paper, where the joint resistance is easily evaluated by the following two rules due to Ohm: 0 s.
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This article is published in Journal of Mathematical Analysis and Applications.The article was published on 1965-04-01 and is currently open access. It has received 554 citations till now. The article focuses on the topics: Resistor & Series and parallel circuits.

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Digraphs Theory Algorithms And Applications

TL;DR: Digraphs is an essential, comprehensive reference for undergraduate and graduate students, and researchers in mathematics, operations research and computer science, and it will also prove invaluable to specialists in related areas, such as meteorology, physics and computational biology.
Proceedings ArticleDOI

The recognition of Series Parallel digraphs

TL;DR: An algorithm is presented that recognizes the class of General Series Parallel digraphs and runs in time proportional to the size of its input and calculates the transitive reduction and transitive closure of any General Series parallel digraph.
Journal ArticleDOI

Graph minors. XVI. excluding a non-planar graph

TL;DR: It is found that every graph with no minor isomorphic to L may be constructed by piecing together in a tree-structure graphs each of which "almost" embeds in some surface in which L cannot be embedded.
References
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Theory of graphs

Oystein Ore
TL;DR: In this article, the axiom of choice of choice is used to define connectedness path problems in directed graphs and cyclic graphs, as well as Galois correspondences of connectedness paths.
Journal ArticleDOI

A symbolic analysis of relay and switching circuits

TL;DR: It will be shown that several of the well-known theorems on impedance networks have roughly analogous theorem in relay circuits, including the delta-wye and star-mesh transformations, and the duality theorem.