The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements
Combinatorics
2009-04-14 v1
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.
Keywords
Cite
@article{arxiv.0904.1757,
title = {The Hypercube of Resistors, Asymptotic Expansions, and Preferential Arrangements},
author = {Nicholas Pippenger},
journal= {arXiv preprint arXiv:0904.1757},
year = {2009}
}
Comments
14 pages