Self-similar Hierarchical Regular Lattices

  • Carlo Cattani
  • Ettore Laserra
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6017)


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.


Simplicial Complex Vertex Versus Sierpinski Gasket Pascal Triangle Exciton Dynamics 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Carlo Cattani
    • 1
  • Ettore Laserra
    • 2
  1. 1.diFarmaUniversity of SalernoFiscianoItaly
  2. 2.DMIUniversity of SalernoFiscianoItaly

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