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Exotic phase transitions of k-cores in clustered networks | | Uttam Bhat
; Munik Shrestha
; Laurent Hébert-Dufresne
; | | Date: |
28 Jul 2016 | | Abstract: | The giant $k$-core --- maximal connected subgraph of a network where each
node has at least $k$ neighbors --- is important in the study of phase
transitions and in applications of network theory. Unlike ErdH{o}s-R’enyi
graphs and other random networks where $k$-cores emerge discontinuously for
$kge 3$, we show that transitive linking (or triadic closure) leads to 3-cores
emerging through single or double phase transitions of both discontinuous and
continuous nature. We also develop a $k$-core calculation that includes
clustering and provides insights into how high-level connectivity emerges. | | Source: | arXiv, 1607.8637 | | Services: | Forum | Review | PDF | Favorites | |
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