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## Performance Analysis of Algorithms for Solving the Maximum Flow Problem

SUN Xiao-jun;WANG Zhi-qiang;LIU San-yang;Mathematics Department,Baoji University of Arts and Sciences;General Armament Department Military Representative Office in Tianshui Region;School of Science,Xidian University;
Two algorithms on resolving the Maximum Flow Problem are analyzed and compared in this paper.However,compared with the classical augmenting path algorithm,it shows that the algorithm based on a dynamic programming idea which regards the maximum flow problem' s solving process as a dynamic adjustment,presents a much quicker and efficient result by judging the maximum flow value in each node in the dynamic stage.Meanwhile,the analysis of the two algorithms is given as a strict theoretical foundation to the algorithm.
【Fund】： 陕西省教育厅科研计划项目(11JK0509);; 陕西省科技厅资助项目(2010JQ8027);; 宝鸡文理学院院级科研项目(ZK11131);; 陕西省自然科学基金(2013Jm1001)
【CateGory Index】： TP301.6;O224
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