论文标题
一类随机链网络的Gutman索引，Schultz索引，乘法度 - Kirchhoff索引和添加度Kirchhoff索引的预期值，差异和限制分布
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
论文作者
论文摘要
近年来，关于复杂网络的研究激增。本文的目的是借助图理论研究随机链网络PGN的数学特性。我们首先解决了古特曼指数，舒尔茨索引，乘法度kirchhoff索引和加法度 - 基尔奇霍夫指数的期望值表达式，然后我们获得了其方差的显式表达公式。最后，我们发现它们的限制分布都具有正态分布的概率和统计意义。
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.
