Mathematical evolution in discrete networks
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Date
2013
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
This paper provides a mathematical explanation for the phenomenon of
\triadic closure" so often seen in social networks. It appears to be a natural consequence
when network change is constrained to be continuous. The concept of
chordless cycles in the network's \irreducible spine" is used in the analysis of the
network's dynamic behavior.
A surprising result is that as networks undergo random, but continuous, perturbations
they tend to become more structured and less chaotic.
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Mathematics for Applications. 2013, 2, č. 2, s. 153-167. ISSN 1805-3629.
http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_pfaltz_final.pdf
http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_pfaltz_final.pdf
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Peer-reviewed
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky