We investigated by tight-binding molecular dynamics the coalescence of
fullerenic fragments and carbon clusters by following the evolution o
f the topological connectivity. Though different temperature variation
protocols lead to irregular structures, their connectivity is found t
o stabilize at values corresponding either to three-branched schwarzit
es or tubulenes, indicating that longtime evolution at constant connec
tivity is potentially able to yield regular shapes. These results can
be related to experiments on laser-induced transformations of fullerit
e occasionally yielding branched structures with a schwarzite shape.