IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v48y2024i5d10.1007_s10878-024-01230-x.html
   My bibliography  Save this article

The sum of root-leaf distance interdiction problem with cardinality constraint by upgrading edges on trees

Author

Listed:
  • Xiao Li

    (Southeast University)

  • Xiucui Guan

    (Southeast University)

  • Qiao Zhang

    (Changzhou University)

  • Xinyi Yin

    (Southeast University)

  • Panos M. Pardalos

    (University of Florida)

Abstract

A network for the transportation of supplies can be described as a rooted tree with a weight of a degree of congestion for each edge. We take the sum of root-leaf distance (SRD) on a rooted tree as the whole degree of congestion of the tree. Hence, we consider the SRD interdiction problem on trees with cardinality constraint by upgrading edges, denoted by (SDIPTC). It aims to maximize the SRD by upgrading the weights of N critical edges such that the total upgrade cost under some measurement is upper-bounded by a given value. The relevant minimum cost problem (MCSDIPTC) aims to minimize the total upgrade cost on the premise that the SRD is lower-bounded by a given value. We develop two different norms including weighted $$l_\infty $$ l ∞ norm and weighted bottleneck Hamming distance to measure the upgrade cost. We propose two binary search algorithms within O( $$n\log n$$ n log n ) time for the problems (SDIPTC) under the two norms, respectively. For problems (MCSDIPTC), we propose two binary search algorithms within O( $$N n^2$$ N n 2 ) and O( $$n \log n$$ n log n ) under weighted $$l_\infty $$ l ∞ norm and weighted bottleneck Hamming distance, respectively. These problems are solved through their subproblems (SDIPT) and (MCSDIPT), in which we ignore the cardinality constraint on the number of upgraded edges. Finally, we design numerical experiments to show the effectiveness of these algorithms.

Suggested Citation

  • Xiao Li & Xiucui Guan & Qiao Zhang & Xinyi Yin & Panos M. Pardalos, 2024. "The sum of root-leaf distance interdiction problem with cardinality constraint by upgrading edges on trees," Journal of Combinatorial Optimization, Springer, vol. 48(5), pages 1-30, December.
    • Handle: RePEc:spr:jcomop:v:48:y:2024:i:5:d:10.1007_s10878-024-01230-x
    DOI: 10.1007/s10878-024-01230-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-024-01230-x
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10878-024-01230-x?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Réka Albert & Hawoong Jeong & Albert-László Barabási, 2000. "Error and attack tolerance of complex networks," Nature, Nature, vol. 406(6794), pages 378-382, July.
    2. Qiao Zhang & Xiucui Guan & Junhua Jia & Xinqiang Qian, 2022. "The sum of root-leaf distance interdiction problem by upgrading edges/nodes on trees," Journal of Combinatorial Optimization, Springer, vol. 44(1), pages 74-93, August.
    3. Utsav Sadana & Erick Delage, 2023. "The Value of Randomized Strategies in Distributionally Robust Risk-Averse Network Interdiction Problems," INFORMS Journal on Computing, INFORMS, vol. 35(1), pages 216-232, January.
    4. Qiao Zhang & Xiucui Guan & Panos M. Pardalos, 2021. "Maximum shortest path interdiction problem by upgrading edges on trees under weighted $$l_1$$ l 1 norm," Journal of Global Optimization, Springer, vol. 79(4), pages 959-987, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Wang, Zhuoyang & Chen, Guo & Hill, David J. & Dong, Zhao Yang, 2016. "A power flow based model for the analysis of vulnerability in power networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 460(C), pages 105-115.
    2. Ryan M. Hynes & Bernardo S. Buarque & Ronald B. Davies & Dieter F. Kogler, 2020. "Hops, Skip & a Jump - The Regional Uniqueness of Beer Styles," Working Papers 202013, Geary Institute, University College Dublin.
    3. Lenore Newman & Ann Dale, 2007. "Homophily and Agency: Creating Effective Sustainable Development Networks," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 9(1), pages 79-90, February.
    4. Aybike Ulusan & Ozlem Ergun, 2018. "Restoration of services in disrupted infrastructure systems: A network science approach," PLOS ONE, Public Library of Science, vol. 13(2), pages 1-28, February.
    5. Yang, Hyeonchae & Jung, Woo-Sung, 2016. "Structural efficiency to manipulate public research institution networks," Technological Forecasting and Social Change, Elsevier, vol. 110(C), pages 21-32.
    6. Alexander Shiroky & Andrey Kalashnikov, 2021. "Mathematical Problems of Managing the Risks of Complex Systems under Targeted Attacks with Known Structures," Mathematics, MDPI, vol. 9(19), pages 1-11, October.
    7. Anand, Kartik & Gai, Prasanna & Marsili, Matteo, 2012. "Rollover risk, network structure and systemic financial crises," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1088-1100.
    8. Yao, Jialing & Sun, Bingbin & Xi, lifeng, 2019. "Fractality of evolving self-similar networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 515(C), pages 211-216.
    9. Sanjeev Goyal & Adrien Vigier, 2014. "Attack, Defence, and Contagion in Networks," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1518-1542.
    10. Britta Hoyer & Kris De Jaegher, 2023. "Network disruption and the common-enemy effect," International Journal of Game Theory, Springer;Game Theory Society, vol. 52(1), pages 117-155, March.
    11. Zhou, Yaoming & Wang, Junwei, 2018. "Efficiency of complex networks under failures and attacks: A percolation approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 512(C), pages 658-664.
    12. Lordan, Oriol & Sallan, Jose M., 2019. "Core and critical cities of global region airport networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 513(C), pages 724-733.
    13. Diana Tampu & Carmen Costea, 2013. "Why society is a complex problem? A review of Philip Ball's book: Meeting Twentyfirst Century Challenges with a New Kind of Science," Journal of Economic Development, Environment and People, Alliance of Central-Eastern European Universities, vol. 2(1), pages 80-89, March.
    14. Elosegui, Pedro & Forte, Federico D. & Montes-Rojas, Gabriel, 2022. "Network structure and fragmentation of the Argentinean interbank markets," Latin American Journal of Central Banking (previously Monetaria), Elsevier, vol. 3(3).
    15. Liu, Run-Ran & Chu, Changchang & Meng, Fanyuan, 2023. "Higher-order interdependent percolation on hypergraphs," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    16. Li, Yapeng & Qiao, Shun & Deng, Ye & Wu, Jun, 2019. "Stackelberg game in critical infrastructures from a network science perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 521(C), pages 705-714.
    17. Ohsung Kwon & Sung-guan Yun & Seung Hun Han & Yang Hon Chung & Duk Hee Lee, 2018. "Network Topology and Systemically Important Firms in the Interfirm Credit Network," Computational Economics, Springer;Society for Computational Economics, vol. 51(4), pages 847-864, April.
    18. Ho-Chun Herbert Chang & Brooke Harrington & Feng Fu & Daniel Rockmore, 2023. "Complex Systems of Secrecy: The Offshore Networks of Oligarchs," Papers 2303.03371, arXiv.org.
    19. Yilun Shang, 2019. "Super Connectivity of Erdős-Rényi Graphs," Mathematics, MDPI, vol. 7(3), pages 1-5, March.
    20. Accominotti, Olivier & Lucena-Piquero, Delio & Ugolini, Stefano, 2023. "Intermediaries’ substitutability and financial network resilience: A hyperstructure approach," Journal of Economic Dynamics and Control, Elsevier, vol. 153(C).

    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:spr:jcomop:v:48:y:2024:i:5:d:10.1007_s10878-024-01230-x. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.