A vast amount of information about distance based graph invariants is contained in the Hosoya polynomial. Such an information is helpful to determine well-known distance based molecular descriptors. The Hosoya index or Z -index of a graph G is the total number of its matching. The Hosoya index is a prominent example of topological indices, which are of great interest in combinatorial chemistry, and later on it applies to address several chemical properties in molecular structures. In this article, we investigate Hosoya properties (Hosoya polynomial, reciprocal Hosoya polynomial and Hosoya index) of the commuting graph associated with an algebraic structure developed by the symmetries of regular molecular gones (constructed by atoms with regular atomic-bonding).

中文翻译：

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与对称群相关联的交换图的 Hosoya 性质

Hosoya 多项式中包含大量关于基于距离的图不变量的信息。这样的信息有助于确定众所周知的基于距离的分子描述符。图 G 的 Hosoya 指数或 Z 指数是其匹配的总数。Hosoya 指数是拓扑指数的一个突出例子，它在组合化学中很受关注，后来它应用于解决分子结构中的几个化学性质。在本文中，我们研究了与由规则分子对称性发展的代数结构相关的交换图的 Hosoya 性质（Hosoya 多项式、Hosoya 多项式和 Hosoya 指数）（由具有规则原子键的原子构成）。