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Bound and exact methods for assessing link vulnerability in complex networks

Author

Listed:
  • T. N. Dinh

    (Virginia Commonwealth University)

  • M. T. Thai

    (University of Florida
    Ton Duc Thang University)

  • H. T. Nguyen

    (Ton Duc Thang University)

Abstract

Assessing network systems for failures is critical to mitigate the risk and develop proactive responses. In this paper, we investigate devastating consequences of link failures in networks. We propose an exact algorithm and a spectral lower-bound on the minimum number of removed links to incur a significant level of disruption. Our exact solution can identify optimal solutions in both uniform and weighted networks through solving a well-constructed mixed integer program. Also, our spectral lower-bound derives from the Laplacian eigenvalues an estimation on the vulnerability of large networks that are intractable for exact methods. Through experiments on both synthetic and real-world networks, we demonstrate the efficiency of the proposed methods.

Suggested Citation

  • T. N. Dinh & M. T. Thai & H. T. Nguyen, 2014. "Bound and exact methods for assessing link vulnerability in complex networks," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 3-24, July.
    • Handle: RePEc:spr:jcomop:v:28:y:2014:i:1:d:10.1007_s10878-014-9742-0
    DOI: 10.1007/s10878-014-9742-0
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    References listed on IDEAS

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    1. Barabási, Albert-László & Albert, Réka & Jeong, Hawoong, 2000. "Scale-free characteristics of random networks: the topology of the world-wide web," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 281(1), pages 69-77.
    2. Alan T. Murray & Timothy C. Matisziw & Tony H. Grubesic, 2008. "A Methodological Overview of Network Vulnerability Analysis," Growth and Change, Wiley Blackwell, vol. 39(4), pages 573-592, December.
    3. Cristina Bazgan & Sonia Toubaline & Daniel Vanderpooten, 2013. "Critical edges/nodes for the minimum spanning tree problem: complexity and approximation," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 178-189, July.
    4. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    5. Maarten Oosten & Jeroen H. G. C. Rutten & Frits C. R. Spieksma, 2007. "Disconnecting graphs by removing vertices: a polyhedral approach," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 61(1), pages 35-60, February.
    6. Tony H. Grubesic & Timothy C. Matisziw & Alan T. Murray & Diane Snediker, 2008. "Comparative Approaches for Assessing Network Vulnerability," International Regional Science Review, , vol. 31(1), pages 88-112, January.
    7. Cristina Bazgan & Sonia Toubaline & Daniel Vanderpooten, 2013. "Complexity of determining the most vital elements for the p-median and p-center location problems," Journal of Combinatorial Optimization, Springer, vol. 25(2), pages 191-207, February.
    8. Marco Di Summa & Andrea Grosso & Marco Locatelli, 2012. "Branch and cut algorithms for detecting critical nodes in undirected graphs," Computational Optimization and Applications, Springer, vol. 53(3), pages 649-680, December.
    9. Bing Su & Qingchuan Xu & Peng Xiao, 2008. "Finding the anti-block vital edge of a shortest path between two nodes," Journal of Combinatorial Optimization, Springer, vol. 16(2), pages 173-181, August.
    10. Stephen P. Borgatti, 2006. "Identifying sets of key players in a social network," Computational and Mathematical Organization Theory, Springer, vol. 12(1), pages 21-34, April.
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    Cited by:

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    2. Foad Mahdavi Pajouh, 2020. "Minimum cost edge blocker clique problem," Annals of Operations Research, Springer, vol. 294(1), pages 345-376, November.

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