IDEAS home Printed from https://ideas.repec.org/a/eee/ejores/v104y1998i1p250-261.html
   My bibliography  Save this article

Minimal spanning trees with a constraint on the number of leaves

Author

Listed:
  • Fernandes, Lucinda Matos
  • Gouveia, Luis

Abstract

No abstract is available for this item.

Suggested Citation

  • Fernandes, Lucinda Matos & Gouveia, Luis, 1998. "Minimal spanning trees with a constraint on the number of leaves," European Journal of Operational Research, Elsevier, vol. 104(1), pages 250-261, January.
    • Handle: RePEc:eee:ejores:v:104:y:1998:i:1:p:250-261
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0377-2217(96)00327-X
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    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. Gouveia, Luis, 1996. "Multicommodity flow models for spanning trees with hop constraints," European Journal of Operational Research, Elsevier, vol. 95(1), pages 178-190, November.
    2. Volgenant, A., 1989. "A Lagrangean approach to the degree-constrained minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 39(3), pages 325-331, April.
    3. Matteo Fischetti & Paolo Toth, 1993. "An Efficient Algorithm for the Min-Sum Arborescence Problem on Complete Digraphs," INFORMS Journal on Computing, INFORMS, vol. 5(4), pages 426-434, November.
    4. Luis Gouveia, 1995. "A 2n Constraint Formulation for the Capacitated Minimal Spanning Tree Problem," Operations Research, INFORMS, vol. 43(1), pages 130-141, February.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Abilio Lucena & Nelson Maculan & Luidi Simonetti, 2010. "Reformulations and solution algorithms for the maximum leaf spanning tree problem," Computational Management Science, Springer, vol. 7(3), pages 289-311, July.
    2. Cerrone, C. & Cerulli, R. & Raiconi, A., 2014. "Relations, models and a memetic approach for three degree-dependent spanning tree problems," European Journal of Operational Research, Elsevier, vol. 232(3), pages 442-453.
    3. Si Chen & Ivana Ljubić & S. Raghavan, 2015. "The Generalized Regenerator Location Problem," INFORMS Journal on Computing, INFORMS, vol. 27(2), pages 204-220, May.
    4. Tresoldi, Emanuele & Malucelli, Federico & Nonato, Maddalena, 2021. "A personalized walking bus service requiring optimized route decisions: A real case," European Journal of Operational Research, Elsevier, vol. 289(3), pages 855-866.
    5. Mercedes Landete & Alfredo Marín & José Luis Sainz-Pardo, 2017. "Decomposition methods based on articulation vertices for degree-dependent spanning tree problems," Computational Optimization and Applications, Springer, vol. 68(3), pages 749-773, December.
    6. G Zhou & M Gen, 2003. "A genetic algorithm approach on tree-like telecommunication network design problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(3), pages 248-254, March.

    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. Kawatra, Rakesh & Bricker, Dennis, 2004. "Design of a degree-constrained minimal spanning tree with unreliable links and node outage costs," European Journal of Operational Research, Elsevier, vol. 156(1), pages 73-82, July.
    2. Kawatra, Rakesh, 2002. "A multiperiod degree constrained minimal spanning tree problem," European Journal of Operational Research, Elsevier, vol. 143(1), pages 53-63, November.
    3. Rakesh Kawatra, 2022. "Design of capacitated degree constrained min-sum arborescence," OPSEARCH, Springer;Operational Research Society of India, vol. 59(3), pages 1038-1054, September.
    4. Gouveia, Luis & Requejo, Cristina, 2001. "A new Lagrangean relaxation approach for the hop-constrained minimum spanning tree problem," European Journal of Operational Research, Elsevier, vol. 132(3), pages 539-552, August.
    5. Bernard Gendron & Luis Gouveia, 2017. "Reformulations by Discretization for Piecewise Linear Integer Multicommodity Network Flow Problems," Transportation Science, INFORMS, vol. 51(2), pages 629-649, May.
    6. Rahma Lahyani & Leandro C. Coelho & Jacques Renaud, 2018. "Alternative formulations and improved bounds for the multi-depot fleet size and mix vehicle routing problem," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(1), pages 125-157, January.
    7. Okan Arslan & Ola Jabali & Gilbert Laporte, 2020. "A Flexible, Natural Formulation for the Network Design Problem with Vulnerability Constraints," INFORMS Journal on Computing, INFORMS, vol. 32(1), pages 120-134, January.
    8. Seyed Babak Ebrahimi & Ehsan Bagheri, 2022. "A multi-objective formulation for the closed-loop plastic supply chain under uncertainty," Operational Research, Springer, vol. 22(5), pages 4725-4768, November.
    9. Fortz, Bernard & Oliveira, Olga & Requejo, Cristina, 2017. "Compact mixed integer linear programming models to the minimum weighted tree reconstruction problem," European Journal of Operational Research, Elsevier, vol. 256(1), pages 242-251.
    10. Xiaojun Zhu & Shaojie Tang, 2021. "A Branch-and-Bound Algorithm for Building Optimal Data Gathering Tree in Wireless Sensor Networks," INFORMS Journal on Computing, INFORMS, vol. 33(4), pages 1446-1460, October.
    11. Erika Buson & Roberto Roberti & Paolo Toth, 2014. "A Reduced-Cost Iterated Local Search Heuristic for the Fixed-Charge Transportation Problem," Operations Research, INFORMS, vol. 62(5), pages 1095-1106, October.
    12. Konak, Abdullah, 2012. "Network design problem with relays: A genetic algorithm with a path-based crossover and a set covering formulation," European Journal of Operational Research, Elsevier, vol. 218(3), pages 829-837.
    13. Marcel Turkensteen & Dmitry Malyshev & Boris Goldengorin & Panos M. Pardalos, 2017. "The reduction of computation times of upper and lower tolerances for selected combinatorial optimization problems," Journal of Global Optimization, Springer, vol. 68(3), pages 601-622, July.
    14. Gouveia, Luis, 1996. "Multicommodity flow models for spanning trees with hop constraints," European Journal of Operational Research, Elsevier, vol. 95(1), pages 178-190, November.
    15. Lysgaard, Jens, 1999. "Cluster based branching for the asymmetric traveling salesman problem," European Journal of Operational Research, Elsevier, vol. 119(2), pages 314-325, December.
    16. Ricardo Fukasawa & Qie He & Yongjia Song, 2016. "A Branch-Cut-and-Price Algorithm for the Energy Minimization Vehicle Routing Problem," Transportation Science, INFORMS, vol. 50(1), pages 23-34, February.
    17. Luis Gouveia, 1998. "Using Variable Redefinition for Computing Lower Bounds for Minimum Spanning and Steiner Trees with Hop Constraints," INFORMS Journal on Computing, INFORMS, vol. 10(2), pages 180-188, May.
    18. Gouveia, Luís & Lopes, Maria João & de Sousa, Amaro, 2015. "Single PON network design with unconstrained splitting stages," European Journal of Operational Research, Elsevier, vol. 240(2), pages 361-371.
    19. Gouveia, Luis & Leitner, Markus & Ruthmair, Mario, 2017. "Extended formulations and branch-and-cut algorithms for the Black-and-White Traveling Salesman Problem," European Journal of Operational Research, Elsevier, vol. 262(3), pages 908-928.
    20. Akgün, Ibrahim & Tansel, Barbaros Ç., 2011. "New formulations of the Hop-Constrained Minimum Spanning Tree problem via Miller-Tucker-Zemlin constraints," European Journal of Operational Research, Elsevier, vol. 212(2), pages 263-276, July.

    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:eee:ejores:v:104:y:1998:i:1:p:250-261. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/eor .

    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.