IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v31y2016i3d10.1007_s10878-014-9808-z.html
   My bibliography  Save this article

Extended cuts

Author

Listed:
  • Walid Ben-Ameur

    (Télécom SudParis)

  • Mohamed Didi Biha

    (Université de Caen)

Abstract

Given a directed graph $$G=(V,A)$$ G = ( V , A ) , three positive integers $$r$$ r , $$k$$ k and $$k'$$ k ′ , and a partition $$\{V_0, V_1,\ldots ,V_r\}$$ { V 0 , V 1 , … , V r } of $$V$$ V such that there are no arcs from $$V_i$$ V i to $$V_j$$ V j when $$j-i>k$$ j - i > k or $$j-i

Suggested Citation

  • Walid Ben-Ameur & Mohamed Didi Biha, 2016. "Extended cuts," Journal of Combinatorial Optimization, Springer, vol. 31(3), pages 1034-1044, April.
    • Handle: RePEc:spr:jcomop:v:31:y:2016:i:3:d:10.1007_s10878-014-9808-z
    DOI: 10.1007/s10878-014-9808-z
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-014-9808-z
    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/s10878-014-9808-z?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. EDMONDS, Jack & GILES, Rick, 1977. "A min-max relation for submodular functions on graphs," LIDAM Reprints CORE 301, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    2. Costa, Marie-Christine & Letocart, Lucas & Roupin, Frederic, 2005. "Minimal multicut and maximal integer multiflow: A survey," European Journal of Operational Research, Elsevier, vol. 162(1), pages 55-69, 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. András Frank, 2005. "On Kuhn's Hungarian Method—A tribute from Hungary," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(1), pages 2-5, February.
    2. Xujin Chen & Guoli Ding & Xiaodong Hu & Wenan Zang, 2006. "A Min-Max Relation on Packing Feedback Vertex Sets," Mathematics of Operations Research, INFORMS, vol. 31(4), pages 777-788, November.
    3. Clemens Heuberger, 2004. "Inverse Combinatorial Optimization: A Survey on Problems, Methods, and Results," Journal of Combinatorial Optimization, Springer, vol. 8(3), pages 329-361, September.
    4. Kazuo Murota, 2016. "Discrete convex analysis: A tool for economics and game theory," The Journal of Mechanism and Institution Design, Society for the Promotion of Mechanism and Institution Design, University of York, vol. 1(1), pages 151-273, December.
    5. Alexandre Skoda, 2019. "Convexity of graph-restricted games induced by minimum partitions," Post-Print halshs-01617023, HAL.
    6. Meijia Han & Wenxing Zhu, 2023. "Nonnegative partial s-goodness for the equivalence of a 0-1 linear program to weighted linear programming," Journal of Combinatorial Optimization, Springer, vol. 45(5), pages 1-37, July.
    7. Mao-Cheng Cai & Xiaoguang Yang & Yanjun Li, 1999. "Inverse Polymatroidal Flow Problem," Journal of Combinatorial Optimization, Springer, vol. 3(1), pages 115-126, July.
    8. Bocquillon, Ronan & Jouglet, Antoine & Carlier, Jacques, 2015. "The data transfer problem in a system of systems," European Journal of Operational Research, Elsevier, vol. 244(2), pages 392-403.
    9. M. Cai & X. Yang & Y. Li, 2000. "Inverse Problems of Submodular Functions on Digraphs," Journal of Optimization Theory and Applications, Springer, vol. 104(3), pages 559-575, March.
    10. Lihui Bai & Donald Hearn & Siriphong Lawphongpanich, 2010. "A heuristic method for the minimum toll booth problem," Journal of Global Optimization, Springer, vol. 48(4), pages 533-548, December.
    11. Bentz, Cédric & Cornaz, Denis & Ries, Bernard, 2013. "Packing and covering with linear programming: A survey," European Journal of Operational Research, Elsevier, vol. 227(3), pages 409-422.
    12. Alexandre Skoda, 2016. "Inheritance of Convexity for Partition Restricted," Documents de travail du Centre d'Economie de la Sorbonne 16040, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    13. Ali Aouad & Vivek Farias & Retsef Levi, 2021. "Assortment Optimization Under Consider-Then-Choose Choice Models," Management Science, INFORMS, vol. 67(6), pages 3368-3386, June.
    14. Guan, Xiucui & Zhang, Jianzhong, 2007. "Improving multicut in directed trees by upgrading nodes," European Journal of Operational Research, Elsevier, vol. 183(3), pages 971-980, December.
    15. Aardal, K. & van Hoesel, C.P.M., 1995. "Polyhedral techniques in combinatorial optimization," Research Memorandum 014, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
    16. Alexandre Skoda, 2017. "Inheritance of Convexity for the P min-Restricted Game," Post-Print halshs-01660670, HAL.
    17. Alexandre Skoda, 2016. "Inheritance of Convexity for Partition Restricted Games," Post-Print halshs-01318105, HAL.
    18. Alexandre Skoda, 2017. "Inheritance of Convexity for the P min-Restricted Game," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-01660670, HAL.
    19. Aardal, K.I. & van Hoesel, S., 1995. "Polyhedral Techniques in Combinatorial Optimization," Other publications TiSEM ed028a07-eb6a-4c8d-8f21-d, Tilburg University, School of Economics and Management.
    20. Alexandre Skoda, 2017. "Convexity of Graph-Restricted Games Induced by Minimum Partitions," Post-Print halshs-01659804, HAL.

    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:31:y:2016:i:3:d:10.1007_s10878-014-9808-z. 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.