Erdős–Rényi model G(n,p)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf random graph model
gptkbp:alternativeName binomial random graph
gptkbp:defines Each possible edge between n nodes is included independently with probability p.
gptkbp:describes random graphs
gptkbp:field gptkb:probability_theory
graph theory
https://www.w3.org/2000/01/rdf-schema#label Erdős–Rényi model G(n,p)
gptkbp:introducedIn 1959
gptkbp:namedAfter gptkb:Paul_Erdős
gptkb:Alfréd_Rényi
gptkbp:parameter n
p
gptkbp:property degree distribution is binomial
edges are independent
expected number of edges is p*n(n-1)/2
giant component emerges above critical threshold
phase transition at p=1/n
gptkbp:relatedTo gptkb:Erdős–Rényi_model_G(n,M)
gptkbp:usedIn gptkb:mathematics
computer science
network science
gptkbp:bfsParent gptkb:Gilbert_random_graph
gptkbp:bfsLayer 6