Invariant resistive networks in Euclidean spaces and their relation to geometry
Aplikace matematiky (1982)
- Volume: 27, Issue: 2, page 128-145
- ISSN: 0862-7940
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topFiedler, Miroslav. "Invariant resistive networks in Euclidean spaces and their relation to geometry." Aplikace matematiky 27.2 (1982): 128-145. <http://eudml.org/doc/15231>.
@article{Fiedler1982,
abstract = {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.},
author = {Fiedler, Miroslav},
journal = {Aplikace matematiky},
keywords = {electrical network; homogeneous resistive wire segments; homogeneous electrical field; geometric properties of invariant systems; conductivities; electrical invariance; electrical network; homogeneous resistive wire segments; homogeneous electrical field; geometric properties of invariant systems; conductivities; electrical invariance},
language = {eng},
number = {2},
pages = {128-145},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Invariant resistive networks in Euclidean spaces and their relation to geometry},
url = {http://eudml.org/doc/15231},
volume = {27},
year = {1982},
}
TY - JOUR
AU - Fiedler, Miroslav
TI - Invariant resistive networks in Euclidean spaces and their relation to geometry
JO - Aplikace matematiky
PY - 1982
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 27
IS - 2
SP - 128
EP - 145
AB - 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.
LA - eng
KW - electrical network; homogeneous resistive wire segments; homogeneous electrical field; geometric properties of invariant systems; conductivities; electrical invariance; electrical network; homogeneous resistive wire segments; homogeneous electrical field; geometric properties of invariant systems; conductivities; electrical invariance
UR - http://eudml.org/doc/15231
ER -
References
top- M. Fiedler, Über zyklische n-Simplexe und konjugierte Raumvielecke, CMUC 2, 2 (1961, 3-26. (1961)
- 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. (1973)
- M. Fiedler, Aggregation in graphs, In: Colloquia Math. Soc. Janos Bolyai. 18. Combinatorics, Keszthely 1976, 315-330. (1976) MR0519274
- P. Lancaster, Theory of matrices, Academic Press, 1969. (1969) Zbl0186.05301MR0245579
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