An Evolving Model for Scale-free Collaboration Networks
一类无标度合作网络的演化模型

The collaboration networks can be found everywhere in real world.Since the collaboration networks have some particular mechanisms leading to their special topological properties,it is significant to construct a corresponding model.In this paper,we propose an evolving model aiming at a special kind of collaboration networks,of which the act-size is fixed.We prove that the degree distribution obeys power-law form with the exponent adjustable between 2 and 3.Also,we obtain the relation expression of vertex degree and its clustering coefficient.In addition,we prove that the increasing tendency of average path length is a little slower than the logarithm of network size.Further more,the simulation results are given out,which are in agreement with the theoretic calculations.