  This paper, as a continuing work of [1], focus on establishing the fact that
if we equip a reciprocal multi-agent (RMA) system with a triangulated Laman
graph (TLG), then the associated potential function is generically an
equivariant Morse function, i.e, there are only finitely many critical orbits
each of which is nondegenerate. Though this assumption on the potential
function of being an equivariant Morse function has been used, and in fact
indispensable, in several occasions. But it is actually still an open question
whether it is true for a given RMA system. Thus, in this paper we will provide
a confirmative answer to the question for the class of RMA systems with TLGs.
The main result, as well as the analysis of this paper, has many implications
for other difficult problems.
