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In this paper, two different propagation models based on different topologies of email network are proposed. By analyzing the means and the characters of email virus spreading, the function of email virus propagation is given, and the maximum time of email virus propagation before the anti-virus software is calculated. The condition in which email virus propagation stops is also proved. The relation between average node degree and power law exponent is discussed later. The models have been testified its rationality through simulation experiments.
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