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If instead we start with an infinite set of vertices, and again let every possible edge occur independently with probability 0 < p < 1, then we get an object G called an infinite random graph. Except in the trivial cases when p is 0 or 1, such a G almost surely has the following property:

If instead we start with an infinite set of vertices, and again let every possible edge occur independently with probability 0 < p < 1, then we get an object G called an infinite random graph. Except in the trivial cases when p is 0 or 1, such a G almost surely has the following property:

如果我们从一个无限的顶点集合开始，然后再次让每个可能的边以概率0 < p < 1独立出现，那么我们得到一个对象 g 称为无限随机图。除了在 p = 0或1的平凡情况下，这样的 g 几乎肯定具有以下性质:

如果我们从一个无限的顶点集合开始，然后再次让每个可能的边以概率0 < ''p'' < 1独立出现，那么我们得到一个对象 ''G'' 称为无限随机图。除了在 ''p'' = 0或1的平凡情况下，这样的 ''G'' 几乎肯定具有以下性质: