Critical phenomena in heterogeneous k-core percolation.
Phys Rev E Stat Nonlin Soft Matter Phys
; 87(2): 022134, 2013 Feb.
Article
de En
| MEDLINE
| ID: mdl-23496486
ABSTRACT
k-core percolation is a percolation model which gives a notion of network functionality and has many applications in network science. In analyzing the resilience of a network under random damage, an extension of this model is introduced, allowing different vertices to have their own degree of resilience. This extension is named heterogeneous k-core percolation and it is characterized by several interesting critical phenomena. Here we analytically investigate binary mixtures in a wide class of configuration model networks and categorize the different critical phenomena which may occur. We observe the presence of critical and tricritical points and give a general criterion for the occurrence of a tricritical point. The calculated critical exponents show cases in which the model belongs to the same universality class of facilitated spin models studied in the context of the glass transition.
Recherche sur Google
Collection:
01-internacional
Base de données:
MEDLINE
Sujet principal:
Algorithmes
/
Modèles statistiques
/
Transition de phase
/
Modèles chimiques
Type d'étude:
Prognostic_studies
/
Risk_factors_studies
Langue:
En
Journal:
Phys Rev E Stat Nonlin Soft Matter Phys
Sujet du journal:
BIOFISICA
/
FISIOLOGIA
Année:
2013
Type de document:
Article
Pays d'affiliation:
Irlande