Mathematical evolution in discrete networks
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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.
Document typePeer reviewed
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SourceMathematics for Applications. 2013, 2, č. 2, s. 153-167. ISSN 1805-3629.
- 2013/2