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Topological phase transition in complex network | | Heiko Bauke
; David Sherrington
; | | Date: |
3 Oct 2007 | | Abstract: | Preferential attachment is a central paradigm in the theory of complex
networks. In this contribution we consider various generalizations of
preferential attachment including for example node removal and edge rewiring.
We demonstrate that generalized preferential attachment networks can undergo a
topological phase transition. This transition separates networks having a
power-law tail degree distribution from those with an exponential tail. The
appearance of the phase transition is closely related to the breakdown of the
continuous variable description of the network dynamics. | | Source: | arXiv, 0710.0831 | | Services: | Forum | Review | PDF | Favorites | |
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