一类随机链式网络的Gutman指标、Schultz指标、乘度-Kirchhoff指标和加度-Kirchhoff指标的期望值、方差和极限分布
The expected values, variances and limiting distributions of Gutman index, Schultz index, multiplicative degree-Kirchhoff index and additive degree-Kirchhoff index for a class of random chain networks
摘要：
近年来，复杂网络的研究掀起了一股热潮。本文的目的是借助于图论研究随机链网络PGn的数学性质。首先求出Gutman指标、Schultz指标、乘性度-Kirchhoff指标和加性度-Kirchhoff指标的期望值表达式，然后得到其方差的显式表达式。最后，我们发现它们的极限分布都具有正态分布的概率统计意义。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
