Structure properties of a doubly-stochastic process on a network

Degree distribution of random birth-and-death network with network size decline

“…For these kinds of evolving networks, the degree distribution is always one of the most important statistical properties. [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30][31] Several methods have been proposed to calculate their degree distributions like the firstorder partial-differential equation method, [14] the mean-field approach, [15,16] the rate equation approach, [17][18][19][20]30] and the master-equation approach. [31] While these approaches aim at the networks whose sizes keep growing or remain unchanged at each time step, Zhang et al put forward the stochasticprocess-rules (SPR)-based Markov chain method to solve the degree distributions of evolving networks in which the network size may increase or decrease at each time step.…”