Title
Self-similar hierarchical regular lattices
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.
Year
DOI
Venue
2010
10.1007/978-3-642-12165-4_19
ICCSA
Keywords
Field
DocType
topological-metric structure,recent model,sierpinski tesselations,suitable definition,basic property,husimi cactus,paper deal,self-similar hierarchical regular lattice,geometric property
Discrete mathematics,Pascal's triangle,Lattice (order),Computer science,Simplicial complex,Sierpinski triangle
Conference
Volume
ISSN
ISBN
6017
0302-9743
3-642-12164-0
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Carlo Cattani19226.22
Ettore Laserra200.68