IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v269y2015icp722-730.html
   My bibliography  Save this article

Randić energy of specific graphs

Author

Listed:
  • Alikhani, Saeid
  • Ghanbari, Nima

Abstract

Let G be a simple graph with vertex set V(G)={v1,v2,…,vn}. The Randić matrix of G, denoted by R(G), is defined as the n × n matrix whose (i, j)-entry is (didj)−12 if vi and vj are adjacent and 0 for another cases. Let the eigenvalues of the Randić matrix R(G) be ρ1 ≥ ρ2 ≥ ⋅⋅⋅ ≥ ρn which are the roots of the Randić characteristic polynomial ∏i=1n(ρ−ρi). The Randić energy RE of G is the sum of absolute values of the eigenvalues of R(G). In this paper, we compute the Randić characteristic polynomial and the Randić energy for specific graphs.

Suggested Citation

  • Alikhani, Saeid & Ghanbari, Nima, 2015. "Randić energy of specific graphs," Applied Mathematics and Computation, Elsevier, vol. 269(C), pages 722-730.
    • Handle: RePEc:eee:apmaco:v:269:y:2015:i:c:p:722-730
    DOI: 10.1016/j.amc.2015.07.112
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300315010346
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2015.07.112?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. Dehmer, M. & Moosbrugger, M. & Shi, Y., 2015. "Encoding structural information uniquely with polynomial-based descriptors by employing the Randić matrix," Applied Mathematics and Computation, Elsevier, vol. 268(C), pages 164-168.
    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. Das, Kinkar Ch. & Mojallal, Seyed Ahmad, 2016. "Extremal Laplacian energy of threshold graphs," Applied Mathematics and Computation, Elsevier, vol. 273(C), pages 267-280.

    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. Dehmer, Matthias & Chen, Zengqiang & Shi, Yongtang & Zhang, Yusen & Tripathi, Shailesh & Ghorbani, Modjtaba & Mowshowitz, Abbe & Emmert-Streib, Frank, 2019. "On efficient network similarity measures," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
    2. Dehmer, Matthias & Emmert-Streib, Frank & Mowshowitz, Abbe & Ilić, Aleksandar & Chen, Zengqiang & Yu, Guihai & Feng, Lihua & Ghorbani, Modjtaba & Varmuza, Kurt & Tao, Jin, 2020. "Relations and bounds for the zeros of graph polynomials using vertex orbits," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    3. Brezovnik, Simon & Dehmer, Matthias & Tratnik, Niko & Žigert Pleteršek, Petra, 2023. "Szeged and Mostar root-indices of graphs," Applied Mathematics and Computation, Elsevier, vol. 442(C).
    4. Lang, Rongling & Li, Tao & Mo, Desen & Shi, Yongtang, 2016. "A novel method for analyzing inverse problem of topological indices of graphs using competitive agglomeration," Applied Mathematics and Computation, Elsevier, vol. 291(C), pages 115-121.

    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:269:y:2015:i:c:p:722-730. 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: 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.