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arXiv · 0805.4765

Markov chain-based stability analysis of growing networks

Zhenting Hou·Jinying Tong·Dinghua Shi
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Abstract

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 growing network and Markov process. Based on the concept and technique of first-passage probability in Markov theory, we provide a rigorous proof for existence of the steady-state degree distribution, mathematically re-deriving the exact formula of the distribution. The approach based on Markov chain theory is universal and performs well in a large class of growing networks.

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Zhenting Hou, Jinying Tong, Dinghua Shi. 2008-06-01. Markov chain-based stability analysis of growing networks. https://arxiv.org/abs/0805.4765

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