论文标题
用于计算带有分子图应用类似Szeged的拓扑指数的通用切割方法
General cut method for computing Szeged-like topological indices with applications to molecular graphs
论文作者
论文摘要
SZEGED，PI和MOSTAR指数是一些基于距离的分子描述符。最近，这些拓扑指数的许多不同变化出现在文献中，有时它们都被称为szeged类拓扑指数。在本文中，我们正式介绍了一个类似Szeged的拓扑指数的概念，其中包括所有提到的指标以及可以以类似方式定义的许多其他拓扑指数。作为本文的主要结果，我们提供了一种用于计算一般szeged拓扑指数的剪切方法，以用于任何强度加权图。这大大概括了有关某些指数已知的各种方法，因此可以解决此类研究。此外，我们将主要结果应用于苯苯二酚系统，苯基苯和冠状体系统，这些系统是众所周知的分子图系列。特别是，推导了这些图的某些亚家族的封闭式公式。
Szeged, PI and Mostar indices are some of the most investigated distance-based molecular descriptors. Recently, many different variations of these topological indices appeared in the literature and sometimes they are all together called Szeged-like topological indices. In this paper, we formally introduce the concept of a general Szeged-like topological index, which includes all mentioned indices and also infinitely many other topological indices that can be defined in a similar way. As the main result of the paper, we provide a cut method for computing a general Szeged-like topological index for any strength-weighted graph. This greatly generalizes various methods known for some of the mentioned indices and therefore rounds off such investigations. Moreover, we provide applications of our main result to benzenoid systems, phenylenes, and coronoid systems, which are well-known families of molecular graphs. In particular, closed-form formulas for some subfamilies of these graphs are deduced.
