Abstract
The problem of efficiently monitoring the network flow is regarded as the problem to find out the minimum weighted weak vertex cover set for a given graphG=(V,E). In this paper, we give an approximation algorithm to solve it, which has the approximation ratio lnd+1, whered is the maximum degree of the vertex in graphG, and improve the previous work.
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This work is supported by the Ministry of Science and Technology of China (Grant No.2001CCA03000), the National Natural Science Foundation of China (Grant No.60273045), and the Shanghai Science and Technology Development Foundation (Grant No.025115032).
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Zhang, Y., Zhu, H. Approximation algorithm for weighted weak vertex cover. J. Comput. Sci. & Technol. 19, 782–786 (2004). https://doi.org/10.1007/BF02973439
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DOI: https://doi.org/10.1007/BF02973439