53 citations · 83 across the 12 of their papers we have counts for
5 papers · 1 filter
Degree-distribution Stability of Evolving Networks
Zhenting Hou, Xiangxing Kong, Dinghua Shi +2
In this paper, we study a class of stochastic processes, called evolving network Markov chains, in evolving networks. Our approach is to transform the degree distribution problem o…
Degree-distribution Stability of Growing Networks
Zhenting Hou, Xiangxing Kong, Dinghua Shi +2
In this paper, we abstract a kind of stochastic processes from evolving processes of growing networks, this process is called growing network Markov chains. Thus the existence and…
Markov chain-based stability analysis of growing networks
Zhenting Hou, Jinying Tong, Dinghua Shi
From the perspective of probability, the stability of growing network is studied in the present paper. Using the DMS model as an example, we establish a relation between the growin…
Evolving Networks and Birth-and-Death Processes
Dinghua Shi, Liming Liu, Xiang Zhu +2
Using a simple model with link removals as well as link additions, we show that an evolving network is scale free with a degree exponent in the range of (2, 4]. We then establish a…
A Markov Chain-Based Numerical Method for Calculating Network Degree Distributions
Dinghua Shi, Qinghua Chen, Liming Liu
This paper establishes a relation between scale-free networks and Markov chains, and proposes a computation framework for degree distributions of scale-free networks. We first find…