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arXiv · 0904.1757

The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements

Nicholas Pippenger
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Abstract

Motivated by the problem of finding resistances among vertices in a hypercube, we derive exact expressions, generating functions, and asymptotic expansions for these resistances, then study the combinatorial interpretations of the coefficients arising in these asymptotic expansions.

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Nicholas Pippenger. 2009-04-10. The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements. https://arxiv.org/abs/0904.1757

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