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