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Self-similar Hierarchical Regular Lattices

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Book cover Computational Science and Its Applications – ICCSA 2010 (ICCSA 2010)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 6017))

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Abstract

This paper deals with the topological-metric structure of a network made by a family of self-similar hierarchical regular lattices. We derive the basic properties and give a suitable definition of self-similarity on lattices. This concept of self-similarity is shown on some classical (omothety) and more recent models (Sierpinski tesselations and Husimi cacti). Both the metric and the geometric properties of the lattice will be intrinsically defined.

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Author information

Authors and Affiliations

  1. diFarma, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, (SA), Italy

    Carlo Cattani

  2. DMI, University of Salerno, Via Ponte Don Melillo, 84084, Fisciano, (SA), Italy

    Ettore Laserra

Authors
  1. Carlo Cattani
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  2. Ettore Laserra
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Editor information

Editors and Affiliations

  1. Monash University, Clayton School of Information Technology, VIC 3800, Clayton, Australia

    David Taniar

  2. Department of Mathematics and Computer Science, University of Perugia, Via Vanvitelli, 1, 06123, Perugia, Italy

    Osvaldo Gervasi

  3. University of Basilicata, L.I.S.U.T. - D.A.P.I.T., Viale dell’Ateneo Lucano 10, 85100, Potenza, Italy

    Beniamino Murgante

  4. Department of Computer Science and Computer Engineeering, LaTrobe University, VIC 3086, Bundoora, Australia

    Eric Pardede

  5. Department of Intelligent Informatics, Kyushu Sangyo University, 813-8503, Fukuoka, Japan

    Bernady O. Apduhan

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© 2010 Springer-Verlag Berlin Heidelberg

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Cattani, C., Laserra, E. (2010). Self-similar Hierarchical Regular Lattices. In: Taniar, D., Gervasi, O., Murgante, B., Pardede, E., Apduhan, B.O. (eds) Computational Science and Its Applications – ICCSA 2010. ICCSA 2010. Lecture Notes in Computer Science, vol 6017. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-12165-4_19

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  • DOI: https://doi.org/10.1007/978-3-642-12165-4_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-12164-7

  • Online ISBN: 978-3-642-12165-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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