sure, your still not telling anything that could be used as a basis for help.
my answer is still valid because it fits your qestion. You get parametric control of the connectees with curve softbodies. You must be more spesific to narrow thigs down.
For example nontrivial how? See a particle object with n particles can be connected with n*(n-1)/2 edges with n! combinations each. Thats awfully lot of thimgs to guess. For a 100 particles more combos than elementary particles in the universe.