In this paper, we study a new problem of instant social graph search, which aims to find a sub graph that closely connects two and more persons in a social network. This is a natural requirement in our real daily life, such as "Who can be my referrals for applying for a job position?". In this paper, we formally define the problem and present a series of approximate algorithms to solve this problem: Path, Influence, and Diversity. To evaluate the social graph search results, we have developed two prototype systems, which are online available and have attracted thousands of users. In terms of both user's viewing time and the number of user clicks, we demonstrate that the three algorithms can significantly outperform (+34.56%-+131.37%) the baseline algorithm.
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