Degree-distribution Stability of Evolving Networks

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dc.creatorHou, Zhenting
dc.creatorKong, Xiangxing
dc.creatorShi, Dinghua
dc.creatorChen, Guanrong
dc.creatorZhao, Qinggui
dc.date2009-01-11
dc.date2009-04-23
dc.date.accessioned2026-07-07T13:07:07Z
dc.date.available2026-07-07T13:07:07Z
dc.descriptionIn 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 of an evolving network to a corresponding problem of evolving network Markov chains. We investigate the evolving network Markov chains, thereby obtaining some exact formulas as well as a precise criterion for determining whether the steady degree distribution of the evolving network is a power-law or not. With this new method, we finally obtain a rigorous, exact and unified solution of the steady degree distribution of the evolving network.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/0901.1418
dc.identifierhttp://arxiv.org/abs/0901.1418
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227989
dc.subjectMathematical Physics
dc.subjectProbability
dc.subject05C80; 60J10
dc.titleDegree-distribution Stability of Evolving Networks
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