  In this paper, we provide a general method to obtain the exact solutions of
the degree distributions for RBDN with network size decline. First by
stochastic process rules, the steady state transformation equations and steady
state degree distribution equations are given in the case of m>2, 0<p<1/2 ,
then the average degree of network with n nodes is introduced to calculate the
degree distribution. Especially, taking m=3 as an example, we explain the
detailed solving process, in which computer simulation is used to verify our
degree distribution solutions. In addition, the tail characteristics of the
degree distribution are discussed. Our findings suggest that the degree
distributions will exhibit Poisson tail property for the declining RBDN.
