Synonyms for Forking:

n.

forking (noun)
branching, furcation, fork, ramification.
ramification (noun)
branching.
shape (noun)
furcation.

v.

halving (verb)
severing, branching, tearing, fissuring, Slitting, rending, axing, splitting, ripping, Rupturing, cutting, Halving, bifurcating, parting, dividing, cleaving, Bisecting.

Other synonyms:

Other relevant words:
fork, ramification, furcation.