of Erdős and Rényi. In the model of Erdős and Rényi, all graphs on a fixed vertex set with a fixed number of edges are equally likely. In the model introduced...

random graph refers almost exclusively to the Erdős–Rényi random graph model. In other contexts, any graph model may be referred to as a random graph. A random...

comparison to real-world complex networks. The Erdős–Rényi model, named for Paul Erdős and Alfréd Rényi, is used for generating random graphs in which...

Gelation of polymers can be described in the framework of the Erdős–Rényi model or the Lushnikov model, which answers the question when a giant component arises...

according to the Erdős–Rényi model, a giant component exists with high probability. Giant components are a prominent feature of the Erdős–Rényi model (ER) of random...

irrelevant—but it illustrates a close relationship to the Erdős–Rényi model. The planted partition model is the special case that the values of the probability...

wrote 32 joint papers with Paul Erdős, the most well-known of which are his papers introducing the Erdős–Rényi model of random graphs. The corpus of his...

inequality Erdős–Rényi model Erdős space Erdős theorems de Bruijn–Erdős theorem (graph theory) de Bruijn–Erdős theorem (incidence geometry) Davenport–Erdős theorem...

individual-level simulation for customer lifetime value modeling. In network theory, particularly the Erdős–Rényi model, the walk length of a random self-avoiding...

The Erdős–Rényi Prize of the Network Science Society is named for Paul Erdős and Alfréd Rényi. This international prize is awarded annually in a special...

degree distribution of the classical random graph model, the Erdős–Rényi model: in the Erdős–Rényi model, there are very few large degree nodes, relative...

maximum-entropy distribution is determined. We exemplify this with the Erdős–Rényi model G ( n , m ) {\displaystyle G(n,m)} . The sharp constraint in G ( n...

Paul Erdős and Alfréd Rényi. The graphs they considered, now known as the classical or Erdős–Rényi (ER) graphs, offer a simple and powerful model with...

graph theory and random graphs, in particular in generalizing the Erdős–Rényi model for graphs with general degree distribution (including power-law graphs...

in coding theory, the Gilbert–Elliott model of bursty errors in signal transmission, and the Erdős–Rényi model for random graphs. Gilbert was born in...

Random graph – Graph generated by a random process Erdős–Rényi model – Two closely related models for generating random graphs Non-linear preferential...

degree) the diameter of the Erdős-Rényi model reacts similarly to a random deletion of nodes. This is because the model is rather homogeneous, the degree...

networks, and theoretical networks. The simplest network model, for example, the (Erdős–Rényi model) random graph, in which each of n nodes is independently...

each other. any two equivalent countable atomic models of a theory are isomorphic. the Erdős–Rényi model of random graphs, when applied to countably infinite...

random graph models such as the Erdős–Rényi (ER) model and the Watts–Strogatz (WS) model do not exhibit power laws. The Barabási–Albert model is one of several...

digraph has a phase transition for strong connectivity similar to Erdős–Rényi model for connectivity. In a random DFA, the maximum number of vertices...

exchangeable random graph model is the k {\displaystyle k} community stochastic block model, a generalization of the Erdős–Rényi model. We can interpret this...

groups. In the context of random graphs, particularly that of the Erdős–Rényi model, analytical results to some properties of random walkers have been...

opposed to the Erdős–Rényi model, the degree sequence of the configuration model is not restricted to have a Poisson distribution, the model allows the user...

Directed percolation – Physical models of filtering under forces such as gravity Erdős–Rényi model – Two closely related models for generating random graphs...

In the mathematical field of graph theory, the Rado graph, Erdős–Rényi graph, or random graph is a countably infinite graph that can be constructed (with...

anthropology Erdős number – Closeness of someone's association with mathematician Paul Erdős Erdős–Rényi (ER) model – Two closely related models for generating...

generation algorithms, such as those generated using the Erdős–Rényi model or Barabási–Albert (BA) model do not create this type of structure. Additionally...

in Beijing dialect of Mandarin Chinese with the -er suffix (儿) Erdős–Rényi model, a model in graph theory Emergency room, or emergency department, in a...

model Epidemiological methods Epilogism Epitome (image processing) Epps effect Equating – test equating Equipossible Equiprobable Erdős–Rényi model Erlang...