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On the smallest disks enclosing graph-directed fractals

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  • 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
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    References listed on IDEAS

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    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)

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