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Rumors spread on the network some research about

Author: ZhouMiaoMiao
Tutor: XuCheng
School: Qingdao University
Course: Computational Mathematics
Keywords: complex networks rumor spreading mathematical model market
CLC: O211.67
Type: Master's thesis
Year: 2011
Downloads: 167
Quote: 0
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Abstract


The rumor spreading is a classic problem on network and divided into three parts. First, the concept of complex network is introduced, and a succinct description of contemporary is given. Second, on the basis of the classical rumor spreading model, the mathematical model is established by researching the rumor spreading on a social network. The aim of this part is to study the influence of the initial set on the rumor spreading. For a given initial set, the part analysis the probability value of the node affected by rumors with the time increasing, and obtains the conclusions of the expected value of the terminal set As. Last, the problem of rumor spreading on markets of the whole social network is discussed, and considered the rumor spreading influences the decision-making. In this case, the rumor spreading is considered in markets and some conclusions are also obtained.

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CLC: > Mathematical sciences and chemical > Mathematics > Probability Theory and Mathematical Statistics > Theory of probability ( probability theory, probability theory ) > Random process > Expectations and Forecast
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