  There has been an upsurge of research on complex networks in recent years.
The purpose of this paper is to study the mathematical properties of the random
chain networks PGn with the help of graph theory. We first solve the expected
value expressions of the Gutman index, Schultz index, multiplicative
degree-Kirchhoff index and additive degree-Kirchhoff index, and then we get the
explicit expression formulas of their variances. Finally, we find that their
limiting distributions all have the probabilistic and statistical significance
of normal distribution.
