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Due to the recent increase of computer viruses, anti-virus measures for the safety control of networks occupies the important decision. Since general anti-virus measures depend on the countermeasures by individual users, it is difficult for the network managers to manage these viruses. We propose a novel virus extermination method which enables control of anti-virus measures at the manager level, and evaluate the effectiveness of the proposed method by computer simulations. By using this method, the vaccine which has the infection capability that is equal to the viruses spreads the following viruses and exterminate them. Therefore, it is possible to exterminate all viruses if the network manager prepares some computers that detect and exterminate the viruses.