The structure of random graphs $\mathscr G_m (x\mid h)$

This paper is an immediate continuation of [1]. On the basis of the more exact estimate than in [1] of statistical sum $Z_m(x\mid h)$, limiting distributions of various characteristicsof random graph $\mathscr G_m (x\mid h)$ are found. In particular, asymptotical normality of the number of all components, the number of small components, the number of vertices in a gigantic component is proved. The peculiarities of the transition through the phase division line; in the domain $x>2$ are studied.