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引用次数: 7
摘要
考虑随机图${\cal G}(n,p),$，其中$p=p(n)$是满足$p(n) = \Theta(\ln n / n).$的任意阈值函数，我们给出了${\cal G}(n,p)$的概率极限值的完整表征，它具有一个属性$\psi,$，其中$\psi$是图的一阶理论的任意句子。
On the limit values of probabilities for the first order properties of graphs
Consider the random graph ${\cal G}(n,p),$ where $p=p(n)$ is any threshold function satisfying $p(n) = \Theta(\ln n / n).$ We give a full characterization of the limit values of probabilities of ${\cal G}(n,p)$ having a property $\psi,$ where $\psi$ is any sentence of the first order theory of graphs.
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