For a graph , the general atom-bond sum-connectivity index is formulated by , where indicates the degree of vertex , can be arbitrary real number. Several physicochemical features of benzenoid hydrocarbons can be correctly anticipated using the index. Researchers go through careful inspection of some and reveal that , , , enjoy benefit in foreseeing the boiling point, the standard enthalpy of vaporization, the acentric factor, and the entropy of octane isomers, separately. One significant wellspring of information for exploring the molecular construction is the assessed worth of the reach for topological indices through certain predefined molecular graph parameters. The purpose of the present work is to find the highest values of the index for in the set of graphs that were given certain predefined parameters, such as matching number, chromatic number, etc. Furthermore, illustrations of the relevant extremal graphs were provided.

中文翻译：

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一般 ABS 指数给定参数的极值图


对于图 ，一般的原子键和连通指数由 表示，其中表示顶点 的度数，可以是任意实数。使用该指数可以正确预测苯环烃的几个物理化学特征。研究人员经过仔细检查，发现 、 、 、 分别有利于预测沸点、标准汽化焓、偏心因子和辛烷异构体的熵。探索分子结构的一个重要信息来源是通过某些预定义的分子图参数评估拓扑索引的范围的价值。本工作的目的是在给定某些预定义参数（例如匹配数、色数等）的一组图中找到索引的最高值。此外，还提供了相关极值图的说明。