  In this letter, we proposed an ungrowing scale-free network model, wherein
the total number of nodes is fixed and the evolution of network structure is
driven by a rewiring process only. In spite of the idiographic form of $G$, by
using a two-order master equation, we obtain the analytic solution of degree
distribution in stable state of the network evolution under the condition that
the selection probability $G$ in rewiring process only depends on nodes'
degrees. A particular kind of the present networks with $G$ linearly correlated
with degree is studied in detail. The analysis and simulations show that the
degree distributions of these networks can varying from the Possion form to the
power-law form with the decrease of a free parameter $\alpha$, indicating the
growth may not be a necessary condition of the self-organizaton of a network in
a scale-free structure.
