Abstract：Based on the harmonious unifying hybrid model, the large harmonious unifying network model (LUHNM) is further developed. In this model, two more hybrid ratios, which are gr and fd, are defined besides the previous total hybrid ratio dr. They are introduced as the deterministic hybrid ratio and the random hybrid ratio, respectively. The ratio dr controls the number of deterministic attachment and random attachment. The networks grow through adjusting the three hybrid ratios. In this paper, several new features of assortativity characteristic transition are revealed. The famous un-weighted BA model, ER model and HUHPM model can deduced by asigning different values of the three hybrid ratios. It is found that assortativity coefficient rc can vary in a large range of (-1, 1), and there exists a threshold value nearby at fd=0.9/1 as dr=1/1, where rc can have a transition from negative to positive values. Also rc can be rapidly increased to a large value from near zero at fd～1/1 as dr→1/0. In addition, the multi-peak phenomena of rc appear as fd→1/1. These results can provide a better understanding about the evolution characteristics and the difference in growing complex networks between social networks and technological and biological networks.
2007, Vol. 25 
