IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v301y2017icp43-59.html
   My bibliography  Save this article

5-regular oriented graphs with optimum skew energy

Author

Listed:
  • Guo, Lifeng
  • Wang, Ligong
  • Xiao, Peng

Abstract

Let G be a simple undirected graph and Gσ be the corresponding oriented graph of G with the orientation σ. The skew energy of Gσ, denoted by εs(Gσ), is defined as the sum of the singular values of the skew adjacency matrix S(Gσ). In 2010, Adiga et al. certified that ɛs(Gσ)≤nΔ, where Δ is the maximum degree of G of order n. It has been shown that every 5-regular oriented graph with optimum skew energy has even neighborhood property, that is each pair of neighborhoods of a graph have even number of common vertices. In this paper, we characterize all connected 5-regular graphs of order n with this property. Moreover, we determine all connected 5-regular oriented graphs of order n with maximum skew-energy.

Suggested Citation

  • Guo, Lifeng & Wang, Ligong & Xiao, Peng, 2017. "5-regular oriented graphs with optimum skew energy," Applied Mathematics and Computation, Elsevier, vol. 301(C), pages 43-59.
    • Handle: RePEc:eee:apmaco:v:301:y:2017:i:c:p:43-59
    DOI: 10.1016/j.amc.2016.12.014
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300316307408
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2016.12.014?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.

    Citations

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


    Cited by:

    1. Campuzano, Felipe & Brown, Robert C. & Martínez, Juan Daniel, 2019. "Auger reactors for pyrolysis of biomass and wastes," Renewable and Sustainable Energy Reviews, Elsevier, vol. 102(C), pages 372-409.
    2. World Bank Group, 2018. "Commodity Markets Outlook, April 2018," World Bank Publications - Books, The World Bank Group, number 29721.
    3. Yang, Xiuwen & Wang, Ligong, 2020. "Extremal Laplacian energy of directed trees, unicyclic digraphs and bicyclic digraphs," Applied Mathematics and Computation, Elsevier, vol. 366(C).
    4. Pandžić, H. & Dvorkin, Y. & Carrión, M., 2018. "Investments in merchant energy storage: Trading-off between energy and reserve markets," Applied Energy, Elsevier, vol. 230(C), pages 277-286.
    5. Alaassar, Ahmad & Mention, Anne-Laure & Aas, Tor Helge, 2020. "Exploring how social interactions influence regulators and innovators: The case of regulatory sandboxes," Technological Forecasting and Social Change, Elsevier, vol. 160(C).
    6. Kavvadias, Konstantinos C. & Quoilin, Sylvain, 2018. "Exploiting waste heat potential by long distance heat transmission: Design considerations and techno-economic assessment," Applied Energy, Elsevier, vol. 216(C), pages 452-465.
    7. Soutullo, S. & Giancola, E. & Heras, M.R., 2018. "Dynamic energy assessment to analyze different refurbishment strategies of existing dwellings placed in Madrid," Energy, Elsevier, vol. 152(C), pages 1011-1023.
    8. Yang, Xiuwen & Wang, Ligong, 2018. "On the ordering of bicyclic digraphs with respect to energy and iota energy," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 768-778.
    9. Lee, Rachel & Homan, Samuel & Mac Dowell, Niall & Brown, Solomon, 2019. "A closed-loop analysis of grid scale battery systems providing frequency response and reserve services in a variable inertia grid," Applied Energy, Elsevier, vol. 236(C), pages 961-972.
    10. Ju, HyungKuk & Badwal, Sukhvinder & Giddey, Sarbjit, 2018. "A comprehensive review of carbon and hydrocarbon assisted water electrolysis for hydrogen production," Applied Energy, Elsevier, vol. 231(C), pages 502-533.
    11. Smith, Kate & Liu, Shuming & Liu, Ying & Guo, Shengjie, 2018. "Can China reduce energy for water? A review of energy for urban water supply and wastewater treatment and suggestions for change," Renewable and Sustainable Energy Reviews, Elsevier, vol. 91(C), pages 41-58.

    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:apmaco:v:301:y:2017:i:c:p:43-59. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.