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...

attachments to other vertices. The Erdős–Rényi model of random graphs was first defined by Paul Erdős and Alfréd Rényi in their 1959 paper "On Random Graphs"...

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...

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...

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...

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...

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

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...

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

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...