The '''[[Erdős–Rényi model]]''', named for [[Paul Erdős]] and [[Alfréd Rényi]], is used for generating [[random graph]]s in which edges are set between nodes with equal probabilities. It can be used in the [[probabilistic method]] to prove the existence of graphs satisfying various properties, or to provide a rigorous definition of what it means for a property to hold for almost all graphs. | The '''[[Erdős–Rényi model]]''', named for [[Paul Erdős]] and [[Alfréd Rényi]], is used for generating [[random graph]]s in which edges are set between nodes with equal probabilities. It can be used in the [[probabilistic method]] to prove the existence of graphs satisfying various properties, or to provide a rigorous definition of what it means for a property to hold for almost all graphs. |