The Topology of Technology Graphs: Small World Patterns in Electronic Circuits
AbstractRecent theoretical studies and extensive data analyses have revealed a common feature displayed by biological, social and technological networks: the presence of small world patterns. Here we analyse this problem by using several graphs obtained from one of the most common technological systems: electronic circuits. It is shown that both analogic and digital circuits exhibit SW behavior. We conjecture that the SW pattern arises from the compact design in which many elements share a small, close physical neighborhood plus the fact that the system must define a single connected component (which requires shortcuts connecting different integrated clusters). The degree distributions displayed are consistent with a conjecture concerning the sharp cutoffs associated to the presence of costly connections [Amaral et al., Proc. Natl. Acad. Sci. USA 97 , 11149 (2000)] thus providing a limit case for the classes of universality of small world patterns from real, artificial networks. The consequences for circuit design are outlined.
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Bibliographic InfoPaper provided by Santa Fe Institute in its series Working Papers with number 01-05-029.
Date of creation: May 2001
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Small world; electronic devices; networks; graph theory; evolvable hardware; statistical physics;
This paper has been announced in the following NEP Reports:
- NEP-ENT-2001-07-17 (Entrepreneurship)
- NEP-EVO-2001-07-17 (Evolutionary Economics)
- NEP-NET-2001-07-17 (Network Economics)
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