Akhter Shehnaz, Imran Muhammad, Raza Zahid
School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), Sector H-12, Islamabad, Pakistan.
Department of Mathematical Sciences, College of Science, United Arab Emirates University, P.O. Box 15551, Al Ain, United Arab Emirates.
J Inequal Appl. 2017;2017(1):76. doi: 10.1186/s13660-017-1350-y. Epub 2017 Apr 14.
The general sum-connectivity index is a molecular descriptor defined as [Formula: see text], where [Formula: see text] denotes the degree of a vertex [Formula: see text], and is a real number. Let be a graph; then let [Formula: see text] be the graph obtained from by adding a new vertex [Formula: see text] corresponding to each edge of and joining [Formula: see text] to the end vertices of the corresponding edge [Formula: see text]. In this paper we obtain the lower and upper bounds for the general sum-connectivity index of four types of graph operations involving -graph. Additionally, we determine the bounds for the general sum-connectivity index of line graph [Formula: see text] and rooted product of graphs.
一般和连通性指标是一种分子描述符，定义为[公式：见正文]，其中[公式：见正文]表示顶点[公式：见正文]的度，且[公式：见正文]是一个实数。设[公式：见正文]为一个图；那么设[公式：见正文]是通过为[公式：见正文]的每条边添加一个新顶点[公式：见正文]并将[公式：见正文]连接到相应边[公式：见正文]的端点而从[公式：见正文]得到的图。在本文中，我们得到了涉及[公式：见正文]图的四种图运算的一般和连通性指标的上下界。此外，我们确定了线图[公式：见正文]和图的根积的一般和连通性指标的界。
