# User:Daviddaved/Y-Δ and star-mesh transforms

The effective conductivities and the Dirichlet-to-Neumann operator of a network are invariant under the following star-mesh transform,

Exercise (**). Use the Schur complement formula

$\Lambda = K/C$

for the Dirichlet-to-Neumann map to prove the invariance.

The Y-Δ transform is a special case of the star-mesh transform in which the center node has the degree 3.
Last modified on 9 October 2012, at 00:16