  Deterministic complex networks that use iterative generation algorithms have
been found to more closely mirror properties found in real world networks than
the traditional uniform random graph models. In this paper we introduce a new,
Iterative Independent Model (IIM), generalizing previously defined models.
These models use ideas from Structural Balance Theory to generate edges through
a notion of cloning where ``the friend of my friend is my friend'' and
anticloning where ``the enemy of my enemy is my friend''. In this paper, we
vastly generalize these notions by allowing each vertex added at a given time
step to choose independently of the other vertices if it will be cloned or
anticloned. While it may seem natural to focus on a randomized model, where we
randomly determine whether or not to clone any given vertex, we found the
general deterministic model exhibited certain structural properties regardless
of the probabilities. This allows applications to then explore the particulars,
while having the theoretical model explain the structural phenomenons that
occur in all possible scenarios.
  Throughout the paper we demonstrate that all IIM graphs have spectral gap
bounded away from zero, which indicates the clustering properties also found in
social networks. Furthermore, we show bounds on the diameter, domination
number, and clique number further indicating the well clustered behaviour of
IIM graphs. Finally, for any fixed graph $F$ all IIM graphs will eventually
contain an induced copy of $F$.
