| Title:
|
Invariant resistive networks in Euclidean spaces and their relation to geometry (English) |
| Author:
|
Fiedler, Miroslav |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
27 |
| Issue:
|
2 |
| Year:
|
1982 |
| Pages:
|
128-145 |
| Summary lang:
|
English |
| Summary lang:
|
Czech |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| Summary:
|
Geometric properties of finite systems of homogeneous resistive wire segments in a Euclidean $n$-space are studied in the case that the absorption of energy of such a system in an arbitrary linear electrical field is invariant under any orthogonal transformation of the system. (English) |
| Keyword:
|
electrical network |
| Keyword:
|
homogeneous resistive wire segments |
| Keyword:
|
homogeneous electrical field |
| Keyword:
|
geometric properties of invariant systems |
| Keyword:
|
conductivities |
| Keyword:
|
electrical invariance |
| MSC:
|
51F99 |
| MSC:
|
78A25 |
| MSC:
|
94C05 |
| idZBL:
|
Zbl 0491.94025 |
| idMR:
|
MR0651050 |
| DOI:
|
10.21136/AM.1982.103953 |
| . |
| Date available:
|
2008-05-20T18:18:48Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/103953 |
| . |
| Reference:
|
[1] M. Fiedler: Über zyklische n-Simplexe und konjugierte Raumvielecke.CMUC 2, 2 (1961, 3-26. |
| Reference:
|
[2] M. Fiedler: Some applications of graphs, matrices and geometry.In: Czechoslovak contributions, Swedish-Czechoslovak seminar on applied mathematics, IVA Stockholm, May 22-23, 1973, 28-36. |
| Reference:
|
[3] M. Fiedler: Aggregation in graphs.In: Colloquia Math. Soc. Janos Bolyai. 18. Combinatorics, Keszthely 1976, 315-330. MR 0519274 |
| Reference:
|
[4] P. Lancaster: Theory of matrices.Academic Press, 1969. Zbl 0186.05301, MR 0245579 |
| . |
