We study ballistic conductance in a three-terminal carbon nanotube system a
nd show that conductance between two of the terminals can be controlled via
the third terminal. The conductance is modulated by tuning the energy spec
trum of the third terminal. Such a system may provide the core of a nanotra
nsistor. We show more generally that the quasi one-dimensional nature of na
notubes can persist in branched topologies and that insights gained in anal
yzing one-dimensional systems can therefore be applied in analyzing network
s of nanotubes.