𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Tellegen's theorem for 2-isomorphic networks

✍ Scribed by Cel, J.

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
51 KB
Volume
27
Category
Article
ISSN
0098-9886

No coin nor oath required. For personal study only.

✦ Synopsis

Let N and N I be directed networks having the same number of branches labelled correspondingly. It is proved that one of them can be reorientated so that u2 i "i2u for all vectors of corresponding branch voltages u, u and currents i, i satisfying Kirchhoff 's voltage and current law in every loop and cutset of N and N I if and only if under imposed correspondence of branches the networks are 2-isomoprhic. This is an 'if and only if' version of the converse of Tellegen's famous theorem established recently by the author and shows that Tellegen's theorem can in general be formulated for 2-isomorphic networks.

πŸ“œ SIMILAR VOLUMES

On Whitney's 2-isomorphism theorem for g
On Whitney's 2-isomorphism theorem for graphs
✍ K. Truemper πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 355 KB

## Abstract Let __G__ and __H__ be 2‐connected 2‐isomorphic graphs with __n__ nodes. Whitney's 2‐isomorphism theorem states that __G__ may be transformed to a graph __G__\* isomorphic to __H__ by repeated application of a simple operation, which we will term β€œswitching”. We present a proof of Whitn

A 2-Isomorphism Theorem for Hypergraphs
A 2-Isomorphism Theorem for Hypergraphs
✍ Dirk Vertigan; Geoff Whittle πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 330 KB

One can associate a polymatroid with a hypergraph that naturally generalises the cycle matroid of a graph. Whitney's 2-isomorphism theorem characterises when two graphs have isomorphic cycle matroids. In this paper Whitney's theorem is generalised to hypergraphs and polymatroids by characterising wh

Author's reply to remarks on β€œA 2D TLM m
Author's reply to remarks on β€œA 2D TLM model for electromagnetic wave propagation in Tellegen media”
✍ A. C. L. Cabeceira; I. Barba; A. Grande; J. Repressa πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 50 KB πŸ‘ 1 views

## Abstract Β© 2004 Wiley Periodicals, Inc. Microwave Opt Technol Lett 42: 345–346, 2004; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/mop.20299