The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements

Mathematics – Combinatorics

Scientific paper

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14 pages

Scientific paper

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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