Faced with the difficulty to foresee and control the rumors about emergency events, it usually causes psychological panic and inappropriate behavior in people crowd. With the appearance of new media for rumor spreading, for example cell phones, which has something to do with the relations of people, the interpersonal relationship network of rumor spreading is becoming more and more international and complicated. In this paper, some social psychology research related with earthquake rumors in recent years is summarized. Following these achievements, we propose a global interpersonal relationship network model based on the preferential attachments and preferential strengthening mechanism between local characteristic groups. The topological properties of rumor spreading is investigated in the social individual level, and its rationality is also analyzed to well describe the statistical results of rumor spreading on the interpersonal relationship network.
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