The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements

Nicholas Pippenger

Published 2009-04-10Version 1

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.