Abstract:

In this paper we propose a simple evolving network with link additions as well as removals. The preferential attachment of link additions is similar to BA model’s, while the removal rule is newly added. From the perspective of Markov chain, we give the exact solution of the degree distribution and show that whether the network is scale-free or not depends on the parameter m, and the degree exponent varying in (3, 5] is also depend on m if scale-free.

Key words: evolving networks, preferential attachmen, difference equation, power law