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With the popularity of the rapid development of mobile Internet and smart devices, Android platform security issues become more and more serious, more malware caused a lot of trouble to the end user, a serious threat to the safety of the user's privacy and property safety. Therefore, the analysis and research of malware has become one of the hot topics in security field. An innovative practical feature extraction and detection of Android program scheme based on function call graph is proposed in this paper. On Android program disassembling function call graph is obtained by the method, which based on the spectral graph theory, combined with the function call graph transformation after extraction of graph structure and extraction algorithm to obtain a certain anti-interference ability of program behavior characteristics. On this basis, the prototype system is realized, and the system is verified by the analysis and detection of a number of malicious Android programs. The experimental results show that the features extracted by this method can effective against all kinds of Android application confusion deformation technology, has the characteristics of strong anti-jamming ability. Based on this feature detection of malicious code has better recognition ability.。