Mandala networks: ultra-small-world and highly sparse graphs.

Abstract:

:The increasing demands in security and reliability of infrastructures call for the optimal design of their embedded complex networks topologies. The following question then arises: what is the optimal layout to fulfill best all the demands? Here we present a general solution for this problem with scale-free networks, like the Internet and airline networks. Precisely, we disclose a way to systematically construct networks which are robust against random failures. Furthermore, as the size of the network increases, its shortest path becomes asymptotically invariant and the density of links goes to zero, making it ultra-small world and highly sparse, respectively. The first property is ideal for communication and navigation purposes, while the second is interesting economically. Finally, we show that some simple changes on the original network formulation can lead to an improved topology against malicious attacks.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Sampaio Filho CI,Moreira AA,Andrade RF,Herrmann HJ,Andrade JS Jr

doi

10.1038/srep09082

subject

Has Abstract

pub_date

2015-03-13 00:00:00

pages

9082

issn

2045-2322

pii

srep09082

journal_volume

5

pub_type

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