IDEAS home Printed from https://ideas.repec.org/a/spr/jcomop/v29y2015i1d10.1007_s10878-014-9729-x.html
   My bibliography  Save this article

Tractable connected domination for restricted bipartite graphs

Author

Listed:
  • Tian Liu

    (Peking University)

  • Zhao Lu

    (Peking University)

  • Ke Xu

    (Beihang University)

Abstract

Connected domination, i.e. the problem of finding a minimum connected dominating set in a graph, was known to be $$\mathcal {NP}$$ NP -complete for chordal bipartite graphs, but to be tractable for convex bipartite graphs. In this paper, connected domination is shown to be tractable for circular- and triad-convex bipartite graphs respectively, by efficient reductions from these graphs to convex bipartite graphs.

Suggested Citation

  • Tian Liu & Zhao Lu & Ke Xu, 2015. "Tractable connected domination for restricted bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 29(1), pages 247-256, January.
    • Handle: RePEc:spr:jcomop:v:29:y:2015:i:1:d:10.1007_s10878-014-9729-x
    DOI: 10.1007/s10878-014-9729-x
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10878-014-9729-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/s10878-014-9729-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. Yingshu Li & Yiwei Wu & Chunyu Ai & Raheem Beyah, 2012. "On the construction of k-connected m-dominating sets in wireless networks," Journal of Combinatorial Optimization, Springer, vol. 23(1), pages 118-139, January.
    2. Weiping Shang & Frances Yao & Pengjun Wan & Xiaodong Hu, 2008. "On minimum m-connected k-dominating set problem in unit disc graphs," Journal of Combinatorial Optimization, Springer, vol. 16(2), pages 99-106, August.
    3. M. H. Akhbari & R. Hasni & O. Favaron & H. Karami & S. M. Sheikholeslami, 2013. "On the outer-connected domination in graphs," Journal of Combinatorial Optimization, Springer, vol. 26(1), pages 10-18, July.
    4. Hongjie Du & Weili Wu & Shan Shan & Donghyun Kim & Wonjun Lee, 2012. "Constructing weakly connected dominating set for secure clustering in distributed sensor network," Journal of Combinatorial Optimization, Springer, vol. 23(2), pages 301-307, 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. Hao Chen & Zihan Lei & Tian Liu & Ziyang Tang & Chaoyi Wang & Ke Xu, 2016. "Complexity of domination, hamiltonicity and treewidth for tree convex bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 32(1), pages 95-110, July.
    2. B. S. Panda & Arti Pandey & Juhi Chaudhary & Piyush Dane & Manav Kashyap, 0. "Maximum weight induced matching in some subclasses of bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 0, pages 1-20.
    3. Henning, Michael A. & Ananchuen, Nawarat & Kaemawichanurat, Pawaton, 2020. "Traceability of connected domination critical graphs," Applied Mathematics and Computation, Elsevier, vol. 386(C).
    4. B. S. Panda & Arti Pandey & Juhi Chaudhary & Piyush Dane & Manav Kashyap, 2020. "Maximum weight induced matching in some subclasses of bipartite graphs," Journal of Combinatorial Optimization, Springer, vol. 40(3), pages 713-732, October.

    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. Yaoyao Zhang & Zhao Zhang & Ding-Zhu Du, 2023. "Construction of minimum edge-fault tolerant connected dominating set in a general graph," Journal of Combinatorial Optimization, Springer, vol. 45(2), pages 1-12, March.
    2. Jiao Zhou & Zhao Zhang & Weili Wu & Kai Xing, 2014. "A greedy algorithm for the fault-tolerant connected dominating set in a general graph," Journal of Combinatorial Optimization, Springer, vol. 28(1), pages 310-319, July.
    3. Yishuo Shi & Yaping Zhang & Zhao Zhang & Weili Wu, 2016. "A greedy algorithm for the minimum $$2$$ 2 -connected $$m$$ m -fold dominating set problem," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 136-151, January.
    4. Chen Liao & Shiyan Hu, 2010. "Polynomial time approximation schemes for minimum disk cover problems," Journal of Combinatorial Optimization, Springer, vol. 20(4), pages 399-412, November.
    5. Zhao Zhang & Jiao Zhou & Shaojie Tang & Xiaohui Huang & Ding-Zhu Du, 2018. "Computing Minimum k -Connected m -Fold Dominating Set in General Graphs," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 217-224, May.
    6. Hongwei Du & Panos Pardalos & Weili Wu & Lidong Wu, 2013. "Maximum lifetime connected coverage with two active-phase sensors," Journal of Global Optimization, Springer, vol. 56(2), pages 559-568, June.
    7. Korsnes, Reinert, 2010. "Rapid self-organised initiation of ad hoc sensor networks close above the percolation threshold," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(14), pages 2841-2848.
    8. Hongyu Liang & Tiancheng Lou & Haisheng Tan & Yuexuan Wang & Dongxiao Yu, 2015. "On the complexity of connectivity in cognitive radio networks through spectrum assignment," Journal of Combinatorial Optimization, Springer, vol. 29(2), pages 472-487, February.
    9. Jing Gao & Jianzhong Li & Yingshu Li, 2016. "Approximate event detection over multi-modal sensing data," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1002-1016, November.
    10. Xiaozhi Wang & Xianyue Li & Bo Hou & Wen Liu & Lidong Wu & Suogang Gao, 2021. "A greedy algorithm for the fault-tolerant outer-connected dominating set problem," Journal of Combinatorial Optimization, Springer, vol. 41(1), pages 118-127, January.
    11. Yan Zhang & Hongzhi Wang & Hong Gao & Jianzhong Li, 2016. "Efficient accuracy evaluation for multi-modal sensed data," Journal of Combinatorial Optimization, Springer, vol. 32(4), pages 1068-1088, November.
    12. Austin Buchanan & Je Sang Sung & Sergiy Butenko & Eduardo L. Pasiliao, 2015. "An Integer Programming Approach for Fault-Tolerant Connected Dominating Sets," INFORMS Journal on Computing, INFORMS, vol. 27(1), pages 178-188, February.
    13. Jiao Zhou & Zhao Zhang & Shaojie Tang & Xiaohui Huang & Ding-Zhu Du, 2018. "Breaking the O (ln n ) Barrier: An Enhanced Approximation Algorithm for Fault-Tolerant Minimum Weight Connected Dominating Set," INFORMS Journal on Computing, INFORMS, vol. 30(2), pages 225-235, May.
    14. D. Pradhan, 2016. "On the complexity of the minimum outer-connected dominating set problem in graphs," Journal of Combinatorial Optimization, Springer, vol. 31(1), pages 1-12, January.

    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:29:y:2015:i:1:d:10.1007_s10878-014-9729-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.