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An Approximation Algorithm for Weak Vertex Cover Problem in Network Management

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Algorithmic Applications in Management (AAIM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 3521))

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Abstract

Link-bandwidth utilization and flow information are obviously critical for numerous network management tasks. The problem of efficiently monitoring the network flowing based on flow-conservation could be reduced to Weak Vertex Cover problem, which is NP-hard. In this paper, using the primal-dual method, we give an approximation algorithm with approximation ratio 2 to solve the problem. It is a near-optimal algorithm as it is very difficult to get an approximation algorithm with approximation ratio lower than 2 for Weak Vertex Cover problem. The effectiveness of our monitoring algorithm is validated by simulations evaluation over a wide range of network topologies. The practices indicate that our work is valuable to solve Weak Vertex Cover problem and its application in network management.

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Cai, Z., Yin, J., Liu, X., Lv, S. (2005). An Approximation Algorithm for Weak Vertex Cover Problem in Network Management. In: Megiddo, N., Xu, Y., Zhu, B. (eds) Algorithmic Applications in Management. AAIM 2005. Lecture Notes in Computer Science, vol 3521. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11496199_27

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  • DOI: https://doi.org/10.1007/11496199_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26224-4

  • Online ISBN: 978-3-540-32440-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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