IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v250y2015icp415-423.html
   My bibliography  Save this article

The Estrada index of evolving graphs

Author

Listed:
  • Shang, Yilun

Abstract

The Estrada index of a simple graph G with adjacency matrix A is defined as EE(G)=trace(eA). It can be used in a range of fields as an efficient measuring tool. An evolving graph G1,G2,…,GN is a time-ordered sequence of graphs over a fixed set of vertices. By using the natural definition of a walk on the evolving graph that respects the arrow of time, we extend the (static) Estrada index to accommodate this promising dynamic setting. We find that although asymmetry is raised intrinsically by time’s arrow, the dynamic Estrada index is order invariant. We establish some lower and upper bounds for the dynamic Estrada index in terms of the numbers of vertices and edges. Illustrative examples are worked out to demonstrate the computations involved.

Suggested Citation

  • Shang, Yilun, 2015. "The Estrada index of evolving graphs," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 415-423.
    • Handle: RePEc:eee:apmaco:v:250:y:2015:i:c:p:415-423
    DOI: 10.1016/j.amc.2014.10.129
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300314015045
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2014.10.129?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. Qiang Li & Azhar Iqbal & Matjaž Perc & Minyou Chen & Derek Abbott, 2013. "Coevolution of Quantum and Classical Strategies on Evolving Random Networks," PLOS ONE, Public Library of Science, vol. 8(7), pages 1-10, July.
    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. Libin Chen & Luyao Wang & Chengyi Zeng & Hongfu Liu & Jing Chen, 2022. "DHGEEP: A Dynamic Heterogeneous Graph-Embedding Method for Evolutionary Prediction," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
    2. Yilun Shang, 2020. "Estrada Index and Laplacian Estrada Index of Random Interdependent Graphs," Mathematics, MDPI, vol. 8(7), pages 1-8, July.

    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. Iqbal, Azhar & Chappell, James M. & Abbott, Derek, 2015. "Social optimality in quantum Bayesian games," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 436(C), pages 798-805.
    2. Alonso-Sanz, Ramón, 2018. "Collective quantum games with Werner-like states," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 510(C), pages 812-827.

    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:250:y:2015:i:c:p:415-423. 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.