IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v114y2018icp483-490.html
   My bibliography  Save this article

On the smallest disks enclosing graph-directed fractals

Author

Listed:
  • Deniz, Ali
  • Çakmak, Gökçe

Abstract

We consider the graph-directed iterated function systems and give upper bounds for the diameters of the smallest disks enclosing their attractors. We also give an algorithm to obtain these smallest enclosing disks with any proximity.

Suggested Citation

  • Deniz, Ali & Çakmak, Gökçe, 2018. "On the smallest disks enclosing graph-directed fractals," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 483-490.
    • Handle: RePEc:eee:chsofr:v:114:y:2018:i:c:p:483-490
    DOI: 10.1016/j.chaos.2018.07.040
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077918307306
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2018.07.040?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. Jalan, Sarika & Yadav, Alok & Sarkar, Camellia & Boccaletti, Stefano, 2017. "Unveiling the multi-fractal structure of complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 97(C), pages 11-14.
    2. Rong Liu & Robert Rallo & Yoram Cohen, 2018. "Fractal Dimension Calculation for Big Data Using Box Locality Index," Annals of Data Science, Springer, vol. 5(4), pages 549-563, December.
    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. Sato, Yoshihiro & Mizukami, Yuka & Takeda, Mariko & Okubo, Kazuya & Kobayashi, Ryota & Munakata, Fumio, 2021. "Quantitative evaluation of morphological characteristics of self-assembled aggregates using multifractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 581(C).
    2. Panigrahy, Chinmaya & Seal, Ayan & Mahato, Nihar Kumar & Bhattacharjee, Debotosh, 2019. "Differential box counting methods for estimating fractal dimension of gray-scale images: A survey," Chaos, Solitons & Fractals, Elsevier, vol. 126(C), pages 178-202.
    3. Moreno-Pulido, Soledad & Pavón-Domínguez, Pablo & Burgos-Pintos, Pedro, 2021. "Temporal evolution of multifractality in the Madrid Metro subway network," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Sato, Yoshihiro & Munakata, Fumio, 2022. "Morphological characteristics of self-assembled aggregate textures using multifractal analysis: Interpretation of Multifractal τ(q) Using Simulations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).

    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:chsofr:v:114:y:2018:i:c:p:483-490. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.