Exact formula for bond percolation on cliques.
Phys Rev E
; 104(2-1): 024304, 2021 Aug.
Article
em En
| MEDLINE
| ID: mdl-34525512
ABSTRACT
We present exact solutions for the size of the giant connected component of complex networks composed of cliques following bond percolation. We use our theoretical result to find the location of the percolation threshold of the model, providing analytical solutions where possible. We expect the results derived here to be useful to a wide variety of applications including graph theory, epidemiology, percolation, and lattice gas models, as well as fragmentation theory. We also examine the Erdos-Gallai theorem as a necessary condition on the graphicality of configuration model networks comprising clique subgraphs.
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Coleções:
01-internacional
Base de dados:
MEDLINE
Idioma:
En
Revista:
Phys Rev E
Ano de publicação:
2021
Tipo de documento:
Article
País de afiliação:
Reino Unido