IDEAS home Printed from https://ideas.repec.org/a/inm/ormnsc/v21y1974i3p362-364.html
   My bibliography  Save this article

Finding the n Most Vital Nodes in a Flow Network

Author

Listed:
  • H. W. Corley, Jr.

    (The University of Texas at Arlington)

  • Han Chang

    (The University of Texas at Arlington)

Abstract

The n most vital nodes in a network are those n nodes whose removal, along with all arcs incident with them, would cause the greatest decrease in maximum flow between a specified node pair. Results are established for this problem that lead to a procedure for determining the n most vital nodes.

Suggested Citation

  • H. W. Corley, Jr. & Han Chang, 1974. "Finding the n Most Vital Nodes in a Flow Network," Management Science, INFORMS, vol. 21(3), pages 362-364, November.
    • Handle: RePEc:inm:ormnsc:v:21:y:1974:i:3:p:362-364
    DOI: 10.1287/mnsc.21.3.362
    as

    Download full text from publisher

    File URL: http://dx.doi.org/10.1287/mnsc.21.3.362
    Download Restriction: no
    File URL: https://libkey.io/10.1287/mnsc.21.3.362?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Matthew Johnson & Alexander Gutfraind & Kiyan Ahmadizadeh, 2014. "Evader interdiction: algorithms, complexity and collateral damage," Annals of Operations Research, Springer, vol. 222(1), pages 341-359, November.
    2. Le Thi Khanh Hien & Melvyn Sim & Huan Xu, 2020. "Mitigating Interdiction Risk with Fortification," Operations Research, INFORMS, vol. 68(2), pages 348-362, March.
    3. Xinyu Huang & Dongming Chen & Dongqi Wang & Tao Ren, 2020. "MINE: Identifying Top- k Vital Nodes in Complex Networks via Maximum Influential Neighbors Expansion," Mathematics, MDPI, vol. 8(9), pages 1-25, August.
    4. Ting Lei & Daoqin Tong, 2013. "Hedging against service disruptions: an expected median location problem with site-dependent failure probabilities," Journal of Geographical Systems, Springer, vol. 15(4), pages 491-512, October.
    5. Alan Murray & Timothy Matisziw & Tony Grubesic, 2007. "Critical network infrastructure analysis: interdiction and system flow," Journal of Geographical Systems, Springer, vol. 9(2), pages 103-117, June.
    6. Jabarzare, Ziba & Zolfagharinia, Hossein & Najafi, Mehdi, 2020. "Dynamic interdiction networks with applications in illicit supply chains," Omega, Elsevier, vol. 96(C).
    7. Samuel F Rosenblatt & Jeffrey A Smith & G Robin Gauthier & Laurent Hébert-Dufresne, 2020. "Immunization strategies in networks with missing data," PLOS Computational Biology, Public Library of Science, vol. 16(7), pages 1-21, July.
    8. Shen, Yeming & Sharkey, Thomas C. & Szymanski, Boleslaw K. & Wallace, William (Al), 2021. "Interdicting interdependent contraband smuggling, money and money laundering networks," Socio-Economic Planning Sciences, Elsevier, vol. 78(C).
    9. 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.
    10. M. Hosein Zare & Juan S. Borrero & Bo Zeng & Oleg A. Prokopyev, 2019. "A note on linearized reformulations for a class of bilevel linear integer problems," Annals of Operations Research, Springer, vol. 272(1), pages 99-117, January.
    11. Paola Cappanera & Maria Paola Scaparra, 2011. "Optimal Allocation of Protective Resources in Shortest-Path Networks," Transportation Science, INFORMS, vol. 45(1), pages 64-80, February.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:inm:ormnsc:v:21:y:1974:i:3:p:362-364. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Chris Asher (email available below). General contact details of provider: https://edirc.repec.org/data/inforea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.