Geodesic
Invariant resistive networks in Euclidean spaces and their relation to geometry
Applications of Mathematics, Tome 27 (1982) no. 2, pp. 128-145
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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.
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.
DOI : 10.21136/AM.1982.103953
Classification : 51F99, 78A25, 94C05
Keywords: electrical network; homogeneous resistive wire segments; homogeneous electrical field; geometric properties of invariant systems; conductivities; electrical invariance 
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Fiedler, Miroslav. Invariant resistive networks in Euclidean spaces and their relation to geometry. Applications of Mathematics, Tome 27 (1982) no. 2, pp. 128-145. doi: 10.21136/AM.1982.103953

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[3] M. Fiedler: Aggregation in graphs. In: Colloquia Math. Soc. Janos Bolyai. 18. Combinatorics, Keszthely 1976, 315-330. | MR

[4] P. Lancaster: Theory of matrices. Academic Press, 1969. | MR | Zbl

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