  We focus on constructing the domi-join model by doing the join operation
based on two smallest dominating sets of two network models and analysis the
properties of domi-join model, such as power law distribution, small world.
Besides, we will import two class of edge-bound growing network models to
explain the process of domi-join model. Then we compute the average degree,
clustering coefficient, power law distribution of the domi-join model. Finally,
we discuss an impressive method for cutting down redundant operation of
domi-join model.
