  The renormalization equations emerge from a Greenian-matrix solution of the
discretized Schrodinger equation. A by-product of these equations is the
decimation process, which enables substituted-benzenes to be mapped onto
corresponding dimers, that are used to construct the series and parallel
circuits of single-, double- and triple-dimers. The transmittivities of these
circuits are calculated by the Lippmann-Schwinger theory, which yields the
transmission-energy function T(E). The average value of T(E) provides a measure
of the electron transport in the circuit in question. The undulating nature of
the T(E) profiles give rise to resonances (T=1) and anti-resonances (T=0)
across the energy spectrum. Analysis of the structure of the T(E) graphs
highlights the distinguishing features associated with the homo- and
hetero-geneous series and parallel circuits. Noteworthy results include the
preponderance of p-dimers in circuits with high T(E) values, and the fact that
parallel circuits tend to be better transmitters than their series
counterparts.
