The Dirichlet to Neumann Map For a Cubic Resistor Network

Todd J. Holenbeck
J. Morrow

Relations that characterize the Dirichlet to Neumann map for a cubic
network of resistors are given.  Using these relations, a
parameterization of a subset of Dirichlet to Neumann maps is given
(hopefully).

1. Introduction
2. Definitions and Motivations
3. Relations in \Lambda
3.1 Derivation of 2x2 determinantal conditions
3.2 Derivation of 4x4 determinantal conditions
4. Parameters for \Lambda
4.1 Numerical experiments
A. Listing of All Known 4x4 Determinantal Conditions