Uniqueness of electrical currents in a network of finite total resistance

Details Uniqueness of electrical currents in a network of finite total resistance Uniqueness of electrical currents in a network of finite total resistance

2009-06-22

arxiv.org/abs/0906.4080v4

Mathematics

Combinatorics

Scientific paper

We show that if the sum of the resistances of an electrical network $N$ is
finite, then there is a unique electrical current in $N$ provided we do not
allow, in a sense, any flow to escape to infinity.

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